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3693396096 = 27331382207
BaseRepresentation
bin1101110000100100…
…1100000010000000
3100112101202221222000
43130021030002000
530031002133341
61410254144000
7160345230435
oct33411140200
910471687860
103693396096
11162590a175
12870ab2000
1346b250aa0
14270741b8c
151693ae8b6
hexdc24c080

3693396096 has 128 divisors (see below), whose sum is σ = 11739302400. Its totient is φ = 1136415744.

The previous prime is 3693396089. The next prime is 3693396101. The reversal of 3693396096 is 6906933963.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3825 + ... + 86031.

It is an arithmetic number, because the mean of its divisors is an integer number (91713300).

Almost surely, 23693396096 is an apocalyptic number.

3693396096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3693396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5869651200).

3693396096 is an abundant number, since it is smaller than the sum of its proper divisors (8045906304).

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

3693396096 is a wasteful number, since it uses less digits than its factorization.

3693396096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82243 (or 82225 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 54.

The square root of 3693396096 is about 60773.3173029085. The cubic root of 3693396096 is about 1545.7596339884.

The spelling of 3693396096 in words is "three billion, six hundred ninety-three million, three hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 82207 164414 246621 328828 493242 657656 739863 986484 1068691 1315312 1479726 1972968 2137382 2219589 2630624 2959452 3206073 3945936 4274764 4439178 5261248 5918904 6412146 7891872 8549528 8878356 9618219 10522496 11837808 12824292 15783744 17099056 17756712 19236438 23675616 25648584 28854657 31567488 34198112 35513424 38472876 47351232 51297168 57709314 68396224 71026848 76945752 94702464 102594336 115418628 136792448 142053696 153891504 205188672 230837256 284107392 307783008 410377344 461674512 615566016 923349024 1231132032 1846698048 3693396096