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37426620420 = 223257228115101
BaseRepresentation
bin100010110110110011…
…001110100000000100
310120121022210022100200
4202312303032200010
51103122203323140
625105450210500
72463316011300
oct426663164004
9116538708320
1037426620420
1114966395962
127306123a30
1336b5ba0257
141b508d8d00
15e90b14030
hex8b6cce804

37426620420 has 216 divisors, whose sum is σ = 132541253208. Its totient is φ = 8523648000.

The previous prime is 37426620379. The next prime is 37426620433. The reversal of 37426620420 is 2402662473.

37426620420 is a `hidden beast` number, since 3 + 7 + 4 + 2 + 6 + 620 + 4 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1451152836 + 35975467584 = 38094^2 + 189672^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2470870 + ... + 2485970.

It is an arithmetic number, because the mean of its divisors is an integer number (613616913).

Almost surely, 237426620420 is an apocalyptic number.

37426620420 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 37426620420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66270626604).

37426620420 is an abundant number, since it is smaller than the sum of its proper divisors (95114632788).

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

37426620420 is a wasteful number, since it uses less digits than its factorization.

37426620420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15411 (or 15399 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 37426620420 in words is "thirty-seven billion, four hundred twenty-six million, six hundred twenty thousand, four hundred twenty".