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88970977368 = 233472131731409
BaseRepresentation
bin101001011011100010…
…1010110000001011000
322111122112120221110000
41102313011112001120
52424203032233433
6104512300453000
76266532554400
oct1226705260130
9274575527400
1088970977368
1134806885169
12152b024a160
13850b892c50
144440397800
1524aad66113
hex14b7156058

88970977368 has 960 divisors, whose sum is σ = 342047059200. Its totient is φ = 21319925760.

The previous prime is 88970977339. The next prime is 88970977369. The reversal of 88970977368 is 86377907988.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 88970977296 and 88970977305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88970977369) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 217532748 + ... + 217533156.

It is an arithmetic number, because the mean of its divisors is an integer number (356299020).

Almost surely, 288970977368 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 88970977368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171023529600).

88970977368 is an abundant number, since it is smaller than the sum of its proper divisors (253076081832).

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

88970977368 is a wasteful number, since it uses less digits than its factorization.

88970977368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 88970977368 in words is "eighty-eight billion, nine hundred seventy million, nine hundred seventy-seven thousand, three hundred sixty-eight".