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10916009440 = 255747207371
BaseRepresentation
bin10100010101010010…
…10001010111100000
31001011202101201211221
422022221101113200
5134323444300230
65003103544424
7534336356260
oct121251212740
931152351757
1010916009440
1146a1891506
1221478bb114
13104c6caaab
14757a897a0
1543d4ed27a
hex28aa515e0

10916009440 has 96 divisors (see below), whose sum is σ = 30100460544. Its totient is φ = 3662983680.

The previous prime is 10916009407. The next prime is 10916009459. The reversal of 10916009440 is 4490061901.

It is a super-2 number, since 2×109160094402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10916009396 and 10916009405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51046 + ... + 156325.

It is an arithmetic number, because the mean of its divisors is an integer number (313546464).

Almost surely, 210916009440 is an apocalyptic number.

10916009440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10916009440 is an abundant number, since it is smaller than the sum of its proper divisors (19184451104).

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

10916009440 is a wasteful number, since it uses less digits than its factorization.

10916009440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207440 (or 207432 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 10916009440 in words is "ten billion, nine hundred sixteen million, nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 70 80 94 112 140 160 188 224 235 280 329 376 470 560 658 752 940 1120 1316 1504 1645 1880 2632 3290 3760 5264 6580 7520 10528 13160 26320 52640 207371 414742 829484 1036855 1451597 1658968 2073710 2903194 3317936 4147420 5806388 6635872 7257985 8294840 9746437 11612776 14515970 16589680 19492874 23225552 29031940 33179360 38985748 46451104 48732185 58063880 68225059 77971496 97464370 116127760 136450118 155942992 194928740 232255520 272900236 311885984 341125295 389857480 545800472 682250590 779714960 1091600944 1364501180 1559429920 2183201888 2729002360 5458004720 10916009440