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86830301952 = 2832536710613
BaseRepresentation
bin101000011011101111…
…1010100001100000000
322022010100112100211100
41100313133110030000
52410312024130302
6103520030414400
76162510250242
oct1206737241400
9268110470740
1086830301952
1133908495029
12149b3361400
13825a232cc4
1442b9d60092
1523d2e66d1c
hex14377d4300

86830301952 has 216 divisors, whose sum is σ = 258908320944. Its totient is φ = 27970854912.

The previous prime is 86830301939. The next prime is 86830301977. The reversal of 86830301952 is 25910303868.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 86830301898 and 86830301907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8176198 + ... + 8186810.

It is an arithmetic number, because the mean of its divisors is an integer number (1198649634).

Almost surely, 286830301952 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 86830301952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129454160472).

86830301952 is an abundant number, since it is smaller than the sum of its proper divisors (172078018992).

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

86830301952 is a wasteful number, since it uses less digits than its factorization.

86830301952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10755 (or 10738 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 86830301952 in words is "eighty-six billion, eight hundred thirty million, three hundred one thousand, nine hundred fifty-two".