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19739417472 = 27342965651
BaseRepresentation
bin10010011000100011…
…111001101110000000
31212221200012022020000
4102120203321232000
5310411242324342
613022420120000
71266106165035
oct223043715600
955850168200
1019739417472
11840a428565
1239aa836000
131b276cb4a8
14d5385338c
157a7e4644c
hex4988f9b80

19739417472 has 160 divisors (see below), whose sum is σ = 60770773800. Its totient is φ = 6352819200.

The previous prime is 19739417449. The next prime is 19739417479. The reversal of 19739417472 is 27471493791.

It is a happy number.

19739417472 is a `hidden beast` number, since 1 + 9 + 73 + 94 + 17 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19739417479) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 267847 + ... + 333497.

Almost surely, 219739417472 is an apocalyptic number.

19739417472 is a gapful number since it is divisible by the number (12) 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 19739417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30385386900).

19739417472 is an abundant number, since it is smaller than the sum of its proper divisors (41031356328).

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

19739417472 is an equidigital number, since it uses as much as digits as its factorization.

19739417472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65706 (or 65685 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 19739417472 in words is "nineteen billion, seven hundred thirty-nine million, four hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 261 288 324 348 384 432 464 522 576 648 696 783 864 928 1044 1152 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 3456 3712 4176 4698 5184 5568 6264 8352 9396 10368 11136 12528 16704 18792 25056 33408 37584 50112 65651 75168 100224 131302 150336 196953 262604 300672 393906 525208 590859 787812 1050416 1181718 1575624 1772577 1903879 2100832 2363436 3151248 3545154 3807758 4201664 4726872 5317731 5711637 6302496 7090308 7615516 8403328 9453744 10635462 11423274 12604992 14180616 15231032 17134911 18907488 21270924 22846548 25209984 28361232 30462064 34269822 37814976 42541848 45693096 51404733 56722464 60924128 68539644 75629952 85083696 91386192 102809466 113444928 121848256 137079288 154214199 170167392 182772384 205618932 226889856 243696512 274158576 308428398 340334784 365544768 411237864 548317152 616856796 680669568 731089536 822475728 1096634304 1233713592 1644951456 2193268608 2467427184 3289902912 4934854368 6579805824 9869708736 19739417472