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372116452140 = 2233523435871187
BaseRepresentation
bin1010110101000111101…
…11100111001100101100
31022120111102202101011000
411122203313213030230
522044043302432030
6442540431000300
735612251440366
oct5324367471454
91276442671130
10372116452140
111338a5044174
1260151069090
13291238a46b4
1414020c87d36
159a2d9d6860
hex56a3de732c

372116452140 has 384 divisors, whose sum is σ = 1239272939520. Its totient is φ = 92473387776.

The previous prime is 372116452121. The next prime is 372116452273. The reversal of 372116452140 is 41254611273.

372116452140 is a `hidden beast` number, since 3 + 7 + 2 + 1 + 1 + 645 + 2 + 1 + 4 + 0 = 666.

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 = 372116452095 and 372116452104.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 313492627 + ... + 313493813.

It is an arithmetic number, because the mean of its divisors is an integer number (3227273280).

Almost surely, 2372116452140 is an apocalyptic number.

372116452140 is a gapful number since it is divisible by the number (30) 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 372116452140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619636469760).

372116452140 is an abundant number, since it is smaller than the sum of its proper divisors (867156487380).

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

372116452140 is a wasteful number, since it uses less digits than its factorization.

372116452140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 372116452140 in words is "three hundred seventy-two billion, one hundred sixteen million, four hundred fifty-two thousand, one hundred forty".