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20474022723792 = 24311432813209183
BaseRepresentation
bin1001010011110111110101…
…10110100000000011010000
32200111022000211211212011020
410221323322312200003100
510140421244304130132
6111313345230115440
74212125240501151
oct451737266400320
980438024755136
1020474022723792
116583a91086420
12236800494bb80
13b568cc5b6251
1450ad3b3c3928
1525789a10352c
hex129efada00d0

20474022723792 has 160 divisors (see below), whose sum is σ = 59251497947136. Its totient is φ = 6038396851200.

The previous prime is 20474022723787. The next prime is 20474022723797. The reversal of 20474022723792 is 29732722047402.

It is an interprime number because it is at equal distance from previous prime (20474022723787) and next prime (20474022723797).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20474022723797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4775233 + ... + 7984415.

Almost surely, 220474022723792 is an apocalyptic number.

20474022723792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20474022723792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29625748973568).

20474022723792 is an abundant number, since it is smaller than the sum of its proper divisors (38777475223344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20474022723792 is a wasteful number, since it uses less digits than its factorization.

20474022723792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209529 (or 3209523 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 51.

The spelling of 20474022723792 in words is "twenty trillion, four hundred seventy-four billion, twenty-two million, seven hundred twenty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 281 344 473 516 528 562 688 843 946 1032 1124 1419 1686 1892 2064 2248 2838 3091 3372 3784 4496 5676 6182 6744 7568 9273 11352 12083 12364 13488 18546 22704 24166 24728 36249 37092 48332 49456 72498 74184 96664 132913 144996 148368 193328 265826 289992 398739 531652 579984 797478 1063304 1594956 2126608 3189912 3209183 6379824 6418366 9627549 12836732 19255098 25673464 35301013 38510196 51346928 70602026 77020392 105903039 137994869 141204052 154040784 211806078 275989738 282408104 413984607 423612156 551979476 564816208 827969214 847224312 901780423 1103958952 1517943559 1655938428 1694448624 1803560846 2207917904 2705341269 3035887118 3311876856 3607121692 4553830677 5410682538 6071774236 6623753712 7214243384 9107661354 9919584653 10821365076 12143548472 14428486768 18215322708 19839169306 21642730152 24287096944 29758753959 36430645416 38776558189 39678338612 43285460304 59517507918 72861290832 77553116378 79356677224 116329674567 119035015836 155106232756 158713354448 232659349134 238070031672 310212465512 426542140079 465318698268 476140063344 620424931024 853084280158 930637396536 1279626420237 1706168560316 1861274793072 2559252840474 3412337120632 5118505680948 6824674241264 10237011361896 20474022723792