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16005272992 = 2541891131213
BaseRepresentation
bin11101110011111110…
…10001010110100000
31112022102202002222121
432321333101112200
5230234322213432
611204104314024
71104424401322
oct167177212640
945272662877
1016005272992
116873617545
123128172914
131680bb1347
14abb945612
1563a1d8197
hex3b9fd15a0

16005272992 has 96 divisors (see below), whose sum is σ = 32957623440. Its totient is φ = 7645102080.

The previous prime is 16005272963. The next prime is 16005273001. The reversal of 16005272992 is 29927250061.

It can be written as a sum of positive squares in 8 ways, for example, as 1219685776 + 14785587216 = 34924^2 + 121596^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13194178 + ... + 13195390.

Almost surely, 216005272992 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 16005272992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16478811720).

16005272992 is an abundant number, since it is smaller than the sum of its proper divisors (16952350448).

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

16005272992 is a wasteful number, since it uses less digits than its factorization.

16005272992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 16005272992 in words is "sixteen billion, five million, two hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 82 89 113 164 178 226 328 356 452 656 712 904 1213 1312 1424 1808 2426 2848 3616 3649 4633 4852 7298 9266 9704 10057 14596 18532 19408 20114 29192 37064 38816 40228 49733 58384 74128 80456 99466 107957 116768 137069 148256 160912 198932 215914 274138 321824 397864 412337 431828 548276 795728 824674 863656 1096552 1591456 1649348 1727312 2193104 3298696 3454624 4386208 4426237 5619829 6597392 8852474 11239658 12199141 13194784 17704948 22479316 24398282 35409896 44958632 48796564 70819792 89917264 97593128 141639584 179834528 195186256 390372512 500164781 1000329562 2000659124 4001318248 8002636496 16005272992