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19904015472 = 24311411516089
BaseRepresentation
bin10010100010010111…
…110010110001110000
31220101010220202020020
4102202113302301300
5311230411443342
613051020043440
71303145224425
oct224227626160
956333822206
1019904015472
118494330470
123a35993580
131b5283ba63
14d6b65bd4c
157b760b0ec
hex4a25f2c70

19904015472 has 160 divisors (see below), whose sum is σ = 57851297280. Its totient is φ = 5844480000.

The previous prime is 19904015441. The next prime is 19904015473. The reversal of 19904015472 is 27451040991.

It is a hoax number, since the sum of its digits (42) 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 (19904015473) 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, 3265804 + ... + 3271892.

It is an arithmetic number, because the mean of its divisors is an integer number (361570608).

Almost surely, 219904015472 is an apocalyptic number.

19904015472 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 19904015472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28925648640).

19904015472 is an abundant number, since it is smaller than the sum of its proper divisors (37947281808).

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

19904015472 is a wasteful number, since it uses less digits than its factorization.

19904015472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 19904015472 in words is "nineteen billion, nine hundred four million, fifteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 151 164 176 246 264 302 328 451 453 492 528 604 656 902 906 984 1208 1353 1661 1804 1812 1968 2416 2706 3322 3608 3624 4983 5412 6089 6191 6644 7216 7248 9966 10824 12178 12382 13288 18267 18573 19932 21648 24356 24764 26576 36534 37146 39864 48712 49528 66979 68101 73068 74292 79728 97424 99056 133958 136202 146136 148584 200937 204303 249649 267916 272404 292272 297168 401874 408606 499298 535832 544808 748947 803748 817212 919439 998596 1071664 1089616 1497894 1607496 1634424 1838878 1997192 2746139 2758317 2995788 3214992 3268848 3677756 3994384 5492278 5516634 5991576 7355512 8238417 10113829 10984556 11033268 11983152 14711024 16476834 20227658 21969112 22066536 30341487 32953668 37696999 40455316 43938224 44133072 60682974 65907336 75393998 80910632 113090997 121365948 131814672 150787996 161821264 226181994 242731896 301575992 414666989 452363988 485463792 603151984 829333978 904727976 1244000967 1658667956 1809455952 2488001934 3317335912 4976003868 6634671824 9952007736 19904015472