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390072695364 = 223211294632
BaseRepresentation
bin1011010110100100010…
…01001111101001000100
31101021211211121001011100
411223102021033221010
522342332102222424
6455110311340100
740116236126622
oct5532211175104
91337754531140
10390072695364
1114047995a500
1263722681630
132aa25a244a1
1414c45964512
15a2300e9dc9
hex5ad224fa44

390072695364 has 81 divisors (see below), whose sum is σ = 1083918452799. Its totient is φ = 118191355920.

The previous prime is 390072695357. The next prime is 390072695387. The reversal of 390072695364 is 463596270093.

The square root of 390072695364 is 624558.

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

390072695364 is a `hidden beast` number, since 39 + 0 + 0 + 72 + 6 + 9 + 536 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 390072695364.

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, 41216097 + ... + 41225559.

Almost surely, 2390072695364 is an apocalyptic number.

390072695364 is the 624558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390072695364

390072695364 is an abundant number, since it is smaller than the sum of its proper divisors (693845757435).

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

390072695364 is an equidigital number, since it uses as much as digits as its factorization.

390072695364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18958 (or 9479 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 390072695364 in words is "three hundred ninety billion, seventy-two million, six hundred ninety-five thousand, three hundred sixty-four".

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 9463 18926 28389 37852 56778 85167 104093 113556 170334 208186 312279 340668 416372 624558 936837 1145023 1249116 1873674 2290046 3435069 3747348 4580092 6870138 10305207 13740276 20610414 41220828 89548369 179096738 268645107 358193476 537290214 805935321 985032059 1074580428 1611870642 1970064118 2955096177 3223741284 3940128236 5910192354 8865288531 10835352649 11820384708 17730577062 21670705298 32506057947 35461154124 43341410596 65012115894 97518173841 130024231788 195036347682 390072695364