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37629144042 = 2374719062383
BaseRepresentation
bin100011000010110111…
…110010101111101010
310121010102212120112120
4203002313302233222
51104031030102132
625141523052110
72501325306210
oct430267625752
9117112776476
1037629144042
1114a5a741956
127361b11036
133718b2c109
141b6d776cb0
15ea37bb02c
hex8c2df2bea

37629144042 has 32 divisors (see below), whose sum is σ = 87839465472. Its totient is φ = 10522434864.

The previous prime is 37629144031. The next prime is 37629144079. The reversal of 37629144042 is 24044192673.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 37629143985 and 37629144003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9529218 + ... + 9533165.

It is an arithmetic number, because the mean of its divisors is an integer number (2744983296).

Almost surely, 237629144042 is an apocalyptic number.

37629144042 is an abundant number, since it is smaller than the sum of its proper divisors (50210321430).

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

37629144042 is a wasteful number, since it uses less digits than its factorization.

37629144042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19062442.

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 37629144042 in words is "thirty-seven billion, six hundred twenty-nine million, one hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1974 19062383 38124766 57187149 114374298 133436681 266873362 400310043 800620086 895932001 1791864002 2687796003 5375592006 6271524007 12543048014 18814572021 37629144042