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16315913328 = 243111323103349
BaseRepresentation
bin11110011001000000…
…10001010001110000
31120010002021021102020
433030200101101300
5231403333211303
611255002351440
71115215655301
oct171440212160
946102237366
1016315913328
116a129a91a0
1231b41bb580
1317003662b0
14b0acc87a8
156575e9a53
hex3cc811470

16315913328 has 160 divisors (see below), whose sum is σ = 51671692800. Its totient is φ = 4365419520.

The previous prime is 16315913321. The next prime is 16315913359. The reversal of 16315913328 is 82331951361.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16315913328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16315913321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106198 + ... + 209546.

It is an arithmetic number, because the mean of its divisors is an integer number (322948080).

Almost surely, 216315913328 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 16315913328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25835846400).

16315913328 is an abundant number, since it is smaller than the sum of its proper divisors (35355779472).

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

16315913328 is a wasteful number, since it uses less digits than its factorization.

16315913328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103407 (or 103401 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The spelling of 16315913328 in words is "sixteen billion, three hundred fifteen million, nine hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 23 24 26 33 39 44 46 48 52 66 69 78 88 92 104 132 138 143 156 176 184 208 253 264 276 286 299 312 368 429 506 528 552 572 598 624 759 858 897 1012 1104 1144 1196 1518 1716 1794 2024 2288 2392 3036 3289 3432 3588 4048 4784 6072 6578 6864 7176 9867 12144 13156 14352 19734 26312 39468 52624 78936 103349 157872 206698 310047 413396 620094 826792 1136839 1240188 1343537 1653584 2273678 2377027 2480376 2687074 3410517 4030611 4547356 4754054 4960752 5374148 6821034 7131081 8061222 9094712 9508108 10748296 13642068 14262162 14778907 16122444 18189424 19016216 21496592 26147297 27284136 28524324 29557814 30901351 32244888 38032432 44336721 52294594 54568272 57048648 59115628 61802702 64489776 78441891 88673442 92704053 104589188 114097296 118231256 123605404 156883782 177346884 185408106 209178376 236462512 247210808 313767564 339914861 354693768 370816212 418356752 494421616 627535128 679829722 709387536 741632424 1019744583 1255070256 1359659444 1483264848 2039489166 2719318888 4078978332 5438637776 8157956664 16315913328