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16642665032 = 2371747431863
BaseRepresentation
bin11110111111111101…
…01110101001001000
31120221212002222111012
433133332232221020
5233041010240112
611351234023052
71126264214210
oct173776565110
946855088435
1016642665032
117070394624
123285717a88
131752c6c6b6
14b3c463240
15676140022
hex3dffaea48

16642665032 has 128 divisors (see below), whose sum is σ = 38698352640. Its totient is φ = 6547338240.

The previous prime is 16642665031. The next prime is 16642665047. The reversal of 16642665032 is 23056624661.

It is a happy number.

It is a super-2 number, since 2×166426650322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16642665031) 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, 19284233 + ... + 19285095.

It is an arithmetic number, because the mean of its divisors is an integer number (302330880).

Almost surely, 216642665032 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 16642665032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19349176320).

16642665032 is an abundant number, since it is smaller than the sum of its proper divisors (22055687608).

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

16642665032 is a wasteful number, since it uses less digits than its factorization.

16642665032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 16642665032 in words is "sixteen billion, six hundred forty-two million, six hundred sixty-five thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 94 119 136 188 238 329 376 431 476 658 799 862 863 952 1316 1598 1724 1726 2632 3017 3196 3448 3452 5593 6034 6041 6392 6904 7327 11186 12068 12082 14654 14671 20257 22372 24136 24164 29308 29342 40514 40561 44744 48328 51289 58616 58684 81028 81122 102578 102697 117368 141799 162056 162244 205156 205394 283598 283927 324488 344369 371953 410312 410788 567196 567854 688738 689537 743906 821576 1134392 1135708 1377476 1379074 1487812 2271416 2410583 2603671 2754952 2758148 2975624 4821166 4826759 5207342 5516296 6323201 9642332 9653518 10414684 12646402 17481791 19284664 19307036 20829368 25292804 34963582 38614072 44262407 50585608 69927164 88524814 122372537 139854328 177049628 244745074 297190447 354099256 489490148 594380894 978980296 1188761788 2080333129 2377523576 4160666258 8321332516 16642665032