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895756245136 = 242924121992
BaseRepresentation
bin11010000100011110011…
…10111001100010010000
310011122002210101222222021
431002033032321202100
5104134002044321021
61523301005021224
7121500450312244
oct15021716714220
93148083358867
10895756245136
11315985058a75
1212572ab54814
136661450075c
14314d7940424
1518479ba7c41
hexd08f3b9890

895756245136 has 135 divisors (see below), whose sum is σ = 1851650898123. Its totient is φ = 419766842880.

The previous prime is 895756245133. The next prime is 895756245191. The reversal of 895756245136 is 631542657598.

The square root of 895756245136 is 946444.

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

It can be written as a sum of positive squares in 4 ways, for example, as 236542158736 + 659214086400 = 486356^2 + 811920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (895756245133) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4501287565 + ... + 4501287763.

Almost surely, 2895756245136 is an apocalyptic number.

895756245136 is the 946444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 895756245136

895756245136 is an abundant number, since it is smaller than the sum of its proper divisors (955894652987).

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

895756245136 is an equidigital number, since it uses as much as digits as its factorization.

895756245136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 271 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 61.

The spelling of 895756245136 in words is "eight hundred ninety-five billion, seven hundred fifty-six million, two hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 199 232 328 398 464 656 796 841 1189 1592 1681 1682 2378 3184 3362 3364 4756 5771 6724 6728 8159 9512 11542 13448 13456 16318 19024 23084 26896 32636 34481 39601 46168 48749 65272 68962 79202 92336 97498 130544 137924 158404 167359 194996 236611 275848 316808 334519 334718 389992 473222 551696 633616 669038 669436 779984 946444 1148429 1338076 1338872 1413721 1623641 1892888 2296858 2676152 2677744 2827442 3247282 3785776 4593716 5352304 5654884 6494564 6861719 9187432 9701051 11309768 12989128 13723438 18374864 19402102 22619536 25978256 27446876 33304441 38804204 47085589 54893752 66569281 66608882 77608408 94171178 109787504 133138562 133217764 155216816 188342356 266277124 266435528 281330479 376684712 532554248 532871056 562660958 753369424 1065108496 1125321916 1365482081 1930509149 2250643832 2730964162 3861018298 4501287664 5461928324 7722036596 10923856648 15444073192 21847713296 30888146384 55984765321 111969530642 223939061284 447878122568 895756245136