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102058738488 = 233271923220147
BaseRepresentation
bin101111100001100101…
…1001100001100111000
3100202102122112002112100
41133003023030030320
53133004014112423
6114515104543400
710242052651350
oct1370313141470
9322378462470
10102058738488
113a312551873
1217943321b60
1398161b17b5
144d22649b60
1529c4d51343
hex17c32cc338

102058738488 has 288 divisors, whose sum is σ = 347625532800. Its totient is φ = 26422526592.

The previous prime is 102058738477. The next prime is 102058738489. The reversal of 102058738488 is 884837850201.

102058738488 is a `hidden beast` number, since 1 + 0 + 20 + 587 + 38 + 4 + 8 + 8 = 666.

102058738488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020587384882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102058738489) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5055631 + ... + 5075777.

It is an arithmetic number, because the mean of its divisors is an integer number (1207033100).

Almost surely, 2102058738488 is an apocalyptic number.

102058738488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102058738488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173812766400).

102058738488 is an abundant number, since it is smaller than the sum of its proper divisors (245566794312).

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

102058738488 is a wasteful number, since it uses less digits than its factorization.

102058738488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20231 (or 20201 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 102058738488 in words is "one hundred two billion, fifty-eight million, seven hundred thirty-eight thousand, four hundred eighty-eight".