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37420213632 = 273195128867
BaseRepresentation
bin100010110110011010…
…110010010110000000
310120120212201210220020
4202312122302112000
51103114033314012
625105101013440
72463210365514
oct426632622600
9116525653806
1037420213632
111496280a39a
127303b54280
1336b4769059
141b4db0c144
15e9029aa8c
hex8b66b2580

37420213632 has 64 divisors (see below), whose sum is σ = 104628907200. Its totient is φ = 11816907264.

The previous prime is 37420213609. The next prime is 37420213637. The reversal of 37420213632 is 23631202473.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 37420213593 and 37420213602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37420213637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2557138 + ... + 2571729.

It is an arithmetic number, because the mean of its divisors is an integer number (1634826675).

Almost surely, 237420213632 is an apocalyptic number.

37420213632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

37420213632 is an abundant number, since it is smaller than the sum of its proper divisors (67208693568).

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

37420213632 is a wasteful number, since it uses less digits than its factorization.

37420213632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128903 (or 5128891 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The spelling of 37420213632 in words is "thirty-seven billion, four hundred twenty million, two hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 5128867 10257734 15386601 20515468 30773202 41030936 61546404 82061872 97448473 123092808 164123744 194896946 246185616 292345419 328247488 389793892 492371232 584690838 656494976 779587784 984742464 1169381676 1559175568 1969484928 2338763352 3118351136 4677526704 6236702272 9355053408 12473404544 18710106816 37420213632