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88685049362112 = 2633717727593233
BaseRepresentation
bin10100001010100010011000…
…110111010011011011000000
3102122000012121120110201122000
4110022202120313103123000
543111003440114041422
6512341203233544000
724452166124463550
oct2412423067233300
9378005546421560
1088685049362112
1126292133394495
129b4390b715000
133a63c6c66b1c8
1417c8544ac3160
15a3bd7d142cac
hex50a898dd36c0

88685049362112 has 448 divisors, whose sum is σ = 315924725975040. Its totient is φ = 23815236943872.

The previous prime is 88685049362101. The next prime is 88685049362137. The reversal of 88685049362112 is 21126394058688.

88685049362112 is a `hidden beast` number, since 8 + 8 + 6 + 8 + 504 + 9 + 3 + 6 + 2 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×886850493621122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 88685049362112.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149197848 + ... + 149791080.

It is an arithmetic number, because the mean of its divisors is an integer number (705189120480).

Almost surely, 288685049362112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88685049362112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157962362987520).

88685049362112 is an abundant number, since it is smaller than the sum of its proper divisors (227239676612928).

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

88685049362112 is a wasteful number, since it uses less digits than its factorization.

88685049362112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594005 (or 593989 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 88685049362112 in words is "eighty-eight trillion, six hundred eighty-five billion, forty-nine million, three hundred sixty-two thousand, one hundred twelve".