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88426537956 = 223229217092
BaseRepresentation
bin101001001011010100…
…0011110001111100100
322110020121010112222100
41102112220132033210
52422044143203311
6104342251332100
76250202112441
oct1222650361744
9273217115870
1088426537956
1134557525839
1215179a51030
138452b4b753
1443cbd549c8
152478170a56
hex1496a1e3e4

88426537956 has 81 divisors (see below), whose sum is σ = 231631633051. Its totient is φ = 28442463168.

The previous prime is 88426537951. The next prime is 88426537963. The reversal of 88426537956 is 65973562488.

It is a happy number.

The square root of 88426537956 is 297366.

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

88426537956 is a `hidden beast` number, since 8 + 8 + 4 + 2 + 6 + 537 + 95 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8360176356 + 80066361600 = 91434^2 + 282960^2 .

It is a super-2 number, since 2×884265379562 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 88426537893 and 88426537902.

It is not an unprimeable number, because it can be changed into a prime (88426537951) 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, 51740830 + ... + 51742538.

Almost surely, 288426537956 is an apocalyptic number.

88426537956 is the 297366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88426537956

88426537956 is an abundant number, since it is smaller than the sum of its proper divisors (143205095095).

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

88426537956 is a wasteful number, since it uses less digits than its factorization.

88426537956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 1743 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 88426537956 in words is "eighty-eight billion, four hundred twenty-six million, five hundred thirty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 1709 2523 3364 3418 5046 5127 6836 7569 10092 10254 15138 15381 20508 30276 30762 49561 61524 99122 148683 198244 297366 446049 594732 892098 1437269 1784196 2874538 2920681 4311807 5749076 5841362 8623614 8762043 11682724 12935421 17247228 17524086 25870842 26286129 35048172 51741684 52572258 84699749 105144516 169399498 254099247 338798996 508198494 762297741 1016396988 1524595482 2456292721 3049190964 4912585442 7368878163 9825170884 14737756326 22106634489 29475512652 44213268978 88426537956