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1052125610436 = 2232435312823919
BaseRepresentation
bin11110100111101111001…
…00101100000111000100
310201120201102221210110100
433103313210230013010
5114214223124013221
62123201223124100
7136004440062525
oct17236744540704
93646642853410
101052125610436
1137622752958a
1214baaa8a3630
13782a4522404
1438ccd1ac84c
151c57ca31926
hexf4f792c1c4

1052125610436 has 72 divisors (see below), whose sum is σ = 2772736686720. Its totient is φ = 336089242944.

The previous prime is 1052125610407. The next prime is 1052125610491. The reversal of 1052125610436 is 6340165212501.

1052125610436 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 1 + 2 + 5 + 610 + 4 + 36 = 666.

It is a super-2 number, since 2×10521256104362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1052125610436.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6329916 + ... + 6494003.

It is an arithmetic number, because the mean of its divisors is an integer number (38510231760).

Almost surely, 21052125610436 is an apocalyptic number.

It is an amenable number.

1052125610436 is an abundant number, since it is smaller than the sum of its proper divisors (1720611076284).

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

1052125610436 is a wasteful number, since it uses less digits than its factorization.

1052125610436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12824025 (or 12824020 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1052125610436 in words is "one trillion, fifty-two billion, one hundred twenty-five million, six hundred ten thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 53 86 106 129 159 172 212 258 318 387 477 516 636 774 954 1548 1908 2279 4558 6837 9116 13674 20511 27348 41022 82044 12823919 25647838 38471757 51295676 76943514 115415271 153887028 230830542 461661084 551428517 679667707 1102857034 1359335414 1654285551 2039003121 2205714068 2718670828 3308571102 4078006242 4962856653 6117009363 6617142204 8156012484 9925713306 12234018726 19851426612 24468037452 29225711401 58451422802 87677134203 116902845604 175354268406 263031402609 350708536812 526062805218 1052125610436