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37985668096 = 210299971283
BaseRepresentation
bin100011011000000111…
…110100110000000000
310122001021201212121011
4203120013310300000
51110243312334341
625241140410304
72513214565015
oct433007646000
9118037655534
1037985668096
1115122a12732
1274413a6994
13377495a9ac
141ba4c6170c
15ec4c42b81
hex8d81f4c00

37985668096 has 88 divisors (see below), whose sum is σ = 78692739120. Its totient is φ = 18305236992.

The previous prime is 37985668087. The next prime is 37985668099. The reversal of 37985668096 is 69086658973.

It is not an unprimeable number, because it can be changed into a prime (37985668099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29606271 + ... + 29607553.

Almost surely, 237985668096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37985668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39346369560).

37985668096 is an abundant number, since it is smaller than the sum of its proper divisors (40707071024).

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

37985668096 is a wasteful number, since it uses less digits than its factorization.

37985668096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 67.

The spelling of 37985668096 in words is "thirty-seven billion, nine hundred eighty-five million, six hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 997 1024 1283 1856 1994 2566 3712 3988 5132 7424 7976 10264 14848 15952 20528 28913 29696 31904 37207 41056 57826 63808 74414 82112 115652 127616 148828 164224 231304 255232 297656 328448 462608 510464 595312 656896 925216 1020928 1190624 1279151 1313792 1850432 2381248 2558302 3700864 4762496 5116604 7401728 9524992 10233208 14803456 19049984 20466416 29606912 37095379 38099968 40932832 74190758 81865664 148381516 163731328 296763032 327462656 593526064 654925312 1187052128 1309850624 2374104256 4748208512 9496417024 18992834048 37985668096