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387269102155716 = 22321122981692
BaseRepresentation
bin101100000001110000001110…
…1010001000011011111000100
31212210012120020120221111102100
41120003200131101003133010
5401230004110122440331
63451352545223312100
7144400161241504524
oct13003403521033704
91783176216844370
10387269102155716
111024399a409a500
123752741a8ab630
1313812420308a51
146b8bcd2da1684
152eb8b587c8ae6
hex160381d4437c4

387269102155716 has 81 divisors (see below), whose sum is σ = 1076017828997293. Its totient is φ = 117353879797440.

The previous prime is 387269102155703. The next prime is 387269102155729. The reversal of 387269102155716 is 617551201962783.

The square root of 387269102155716 is 19679154.

It is a perfect power (a square), and thus also a powerful number.

387269102155716 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 69 + 1 + 0 + 2 + 1 + 557 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (387269102155703) and next prime (387269102155729).

It can be written as a sum of positive squares in only one way, i.e., 138200103269316 + 249068998886400 = 11755854^2 + 15781920^2 .

It is a super-2 number, since 2×3872691021557162 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1298675080 + ... + 1298973248.

Almost surely, 2387269102155716 is an apocalyptic number.

387269102155716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

387269102155716 is the 19679154-th square number.

It is an amenable number.

387269102155716 is an abundant number, since it is smaller than the sum of its proper divisors (688748726841577).

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

387269102155716 is an frugal number, since it uses more digits than its factorization.

387269102155716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596370 (or 298185 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 387269102155716 in words is "three hundred eighty-seven trillion, two hundred sixty-nine billion, one hundred two million, one hundred fifty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 298169 596338 894507 1192676 1789014 2683521 3279859 3578028 5367042 6559718 9839577 10734084 13119436 19679154 29518731 36078449 39358308 59037462 72156898 108235347 118074924 144313796 216470694 324706041 432941388 649412082 1298824164 88904752561 177809505122 266714257683 355619010244 533428515366 800142773049 977952278171 1066857030732 1600285546098 1955904556342 2933856834513 3200571092196 3911809112684 5867713669026 8801570503539 10757475059881 11735427338052 17603141007078 21514950119762 32272425179643 35206282014156 43029900239524 64544850359286 96817275538929 129089700718572 193634551077858 387269102155716