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78235103232 = 2123411131797
BaseRepresentation
bin100100011011100101…
…1001111000000000000
321110221100011000210000
41020313023033000000
52240211141300412
655535105440000
75436511255656
oct1106713170000
9243840130700
1078235103232
11301a7749010
12131b4940000
1374ba5b57c0
143b025dcdd6
15207d59b4dc
hex12372cf000

78235103232 has 1040 divisors, whose sum is σ = 293717727072. Its totient is φ = 20384317440.

The previous prime is 78235103203. The next prime is 78235103251. The reversal of 78235103232 is 23230153287.

78235103232 is a `hidden beast` number, since 7 + 82 + 3 + 510 + 32 + 32 = 666.

It is a super-2 number, since 2×782351032322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 806547408 + ... + 806547504.

Almost surely, 278235103232 is an apocalyptic number.

78235103232 is a gapful number since it is divisible by the number (72) 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 78235103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146858863536).

78235103232 is an abundant number, since it is smaller than the sum of its proper divisors (215482623840).

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

78235103232 is a wasteful number, since it uses less digits than its factorization.

78235103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 78235103232 in words is "seventy-eight billion, two hundred thirty-five million, one hundred three thousand, two hundred thirty-two".