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86956031999988 = 22324158913300813
BaseRepresentation
bin10011110001011000000111…
…011001011111111111110100
3102101212220201101021011210100
4103301120013121133333310
542344141423142444423
6504535014415154100
724213236351421564
oct2361300731377764
9371786641234710
1086956031999988
1125785934141298
1299047b3215930
133969bc330bc98
1417689a1638da4
15a0bdd50ec343
hex4f160765fff4

86956031999988 has 36 divisors (see below), whose sum is σ = 225166635711108. Its totient is φ = 28278384389760.

The previous prime is 86956031999987. The next prime is 86956032000037. The reversal of 86956031999988 is 88999913065968.

86956031999988 is a `hidden beast` number, since 8 + 6 + 9 + 560 + 31 + 9 + 9 + 9 + 9 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23706109307664 + 63249922692324 = 4868892^2 + 7952982^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×869560319999882 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86956031999898 and 86956031999907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86956031999987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29456648931 + ... + 29456651882.

It is an arithmetic number, because the mean of its divisors is an integer number (6254628769753).

Almost surely, 286956031999988 is an apocalyptic number.

It is an amenable number.

86956031999988 is an abundant number, since it is smaller than the sum of its proper divisors (138210603711120).

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

86956031999988 is a wasteful number, since it uses less digits than its factorization.

86956031999988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58913300864 (or 58913300859 counting only the distinct ones).

The product of its (nonzero) digits is 16325867520, while the sum is 90.

The spelling of 86956031999988 in words is "eighty-six trillion, nine hundred fifty-six billion, thirty-one million, nine hundred ninety-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 58913300813 117826601626 176739902439 235653203252 353479804878 530219707317 706959609756 1060439414634 2120878829268 2415445333333 4830890666666 7246335999999 9661781333332 14492671999998 21739007999997 28985343999996 43478015999994 86956031999988