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116125326540 = 223352715091559
BaseRepresentation
bin110110000100110011…
…0111101110011001100
3102002201222021210202000
41230021212331303030
53400311040422130
6125203000432300
711250456663216
oct1541146756314
9362658253660
10116125326540
11452807a0653
121a60a178690
13ac48536192
1458988d75b6
153049c39260
hex1b099bdccc

116125326540 has 192 divisors, whose sum is σ = 363557376000. Its totient is φ = 30772120320.

The previous prime is 116125326533. The next prime is 116125326547. The reversal of 116125326540 is 45623521611.

116125326540 is a `hidden beast` number, since 1 + 1 + 61 + 2 + 53 + 2 + 6 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (116125326533) and next prime (116125326547).

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

It is a junction number, because it is equal to n+sod(n) for n = 116125326495 and 116125326504.

It is not an unprimeable number, because it can be changed into a prime (116125326547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74486281 + ... + 74487839.

It is an arithmetic number, because the mean of its divisors is an integer number (1893528000).

Almost surely, 2116125326540 is an apocalyptic number.

116125326540 is a gapful number since it is divisible by the number (10) 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 116125326540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181778688000).

116125326540 is an abundant number, since it is smaller than the sum of its proper divisors (247432049460).

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

116125326540 is a wasteful number, since it uses less digits than its factorization.

116125326540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 116125326540 in words is "one hundred sixteen billion, one hundred twenty-five million, three hundred twenty-six thousand, five hundred forty".