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20802135552 = 293111498263
BaseRepresentation
bin10011010111111001…
…110110011000000000
31222200201212222100220
4103113321312120000
5320100321314202
613320101543040
71334332143342
oct232771663000
958621788326
1020802135552
118905299370
124046714a80
131c66927863
141014a49292
1581b3b5abc
hex4d7e76600

20802135552 has 160 divisors (see below), whose sum is σ = 60869318400. Its totient is φ = 6260613120.

The previous prime is 20802135533. The next prime is 20802135581. The reversal of 20802135552 is 25553120802.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2513373 + ... + 2521635.

It is an arithmetic number, because the mean of its divisors is an integer number (380433240).

Almost surely, 220802135552 is an apocalyptic number.

20802135552 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 20802135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30434659200).

20802135552 is an abundant number, since it is smaller than the sum of its proper divisors (40067182848).

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

20802135552 is a wasteful number, since it uses less digits than its factorization.

20802135552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444 (or 8428 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 20802135552 in words is "twenty billion, eight hundred two million, one hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 149 176 192 256 264 298 352 384 447 512 528 596 704 768 894 1056 1192 1408 1536 1639 1788 2112 2384 2816 3278 3576 4224 4768 4917 5632 6556 7152 8263 8448 9536 9834 13112 14304 16526 16896 19072 19668 24789 26224 28608 33052 38144 39336 49578 52448 57216 66104 76288 78672 90893 99156 104896 114432 132208 157344 181786 198312 209792 228864 264416 272679 314688 363572 396624 419584 528832 545358 629376 727144 793248 839168 1057664 1090716 1231187 1258752 1454288 1586496 2115328 2181432 2462374 2517504 2908576 3172992 3693561 4230656 4362864 4924748 5817152 6345984 7387122 8725728 9849496 11634304 12691968 13543057 14774244 17451456 19698992 23268608 27086114 29548488 34902912 39397984 40629171 46537216 54172228 59096976 69805824 78795968 81258342 108344456 118193952 139611648 157591936 162516684 216688912 236387904 315183872 325033368 433377824 472775808 630367744 650066736 866755648 945551616 1300133472 1733511296 1891103232 2600266944 3467022592 5200533888 6934045184 10401067776 20802135552