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5196443904 = 283217313037
BaseRepresentation
bin1001101011011101…
…10111000100000000
3111102011000200221100
410311232313010000
541120242201104
62215345454400
7242526021141
oct46556670400
914364020840
105196443904
112227291243
121010341400
1364a76c3a2
143741d9ac8
1520630c139
hex135bb7100

5196443904 has 108 divisors (see below), whose sum is σ = 15070389516. Its totient is φ = 1722003456.

The previous prime is 5196443881. The next prime is 5196443957. The reversal of 5196443904 is 4093446915.

5196443904 is a `hidden beast` number, since 519 + 6 + 4 + 43 + 90 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4192821504 + 1003622400 = 64752^2 + 31680^2 .

It is a super-2 number, since 2×51964439042 = 54006058494837522432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5196443904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392074 + ... + 405110.

Almost surely, 25196443904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5196443904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535194758).

5196443904 is an abundant number, since it is smaller than the sum of its proper divisors (9873945612).

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

5196443904 is a wasteful number, since it uses less digits than its factorization.

5196443904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13232 (or 13215 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5196443904 is about 72086.3642029476. The cubic root of 5196443904 is about 1732.0831937737.

The spelling of 5196443904 in words is "five billion, one hundred ninety-six million, four hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 256 288 346 384 519 576 692 768 1038 1152 1384 1557 2076 2304 2768 3114 4152 5536 6228 8304 11072 12456 13037 16608 22144 24912 26074 33216 39111 44288 49824 52148 66432 78222 99648 104296 117333 132864 156444 199296 208592 234666 312888 398592 417184 469332 625776 834368 938664 1251552 1668736 1877328 2255401 2503104 3337472 3754656 4510802 5006208 6766203 7509312 9021604 10012416 13532406 15018624 18043208 20298609 27064812 30037248 36086416 40597218 54129624 72172832 81194436 108259248 144345664 162388872 216518496 288691328 324777744 433036992 577382656 649555488 866073984 1299110976 1732147968 2598221952 5196443904