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37132398996 = 223711353113843
BaseRepresentation
bin100010100101010000…
…110111000110010100
310112211211011022102220
4202211100313012110
51102021343231441
625020340102340
72453114120010
oct424520670624
9115754138386
1037132398996
11148252a8a60
1272436949b0
133669c46734
141b237cb540
15e74d97466
hex8a5437194

37132398996 has 96 divisors (see below), whose sum is σ = 108328485888. Its totient is φ = 9617372160.

The previous prime is 37132398973. The next prime is 37132399049. The reversal of 37132398996 is 69989323173.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269251 + ... + 383093.

It is an arithmetic number, because the mean of its divisors is an integer number (1128421728).

Almost surely, 237132398996 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 37132398996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54164242944).

37132398996 is an abundant number, since it is smaller than the sum of its proper divisors (71196086892).

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

37132398996 is a wasteful number, since it uses less digits than its factorization.

37132398996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114221 (or 114219 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 60.

The spelling of 37132398996 in words is "thirty-seven billion, one hundred thirty-two million, three hundred ninety-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 353 462 706 924 1059 1412 2118 2471 3883 4236 4942 7413 7766 9884 11649 14826 15532 23298 27181 29652 46596 54362 81543 108724 113843 163086 227686 326172 341529 455372 683058 796901 1252273 1366116 1593802 2390703 2504546 3187604 3756819 4781406 5009092 7513638 8765911 9562812 15027276 17531822 26297733 35063644 40186579 52595466 80373158 105190932 120559737 160746316 241119474 281306053 442052369 482238948 562612106 843918159 884104738 1125224212 1326157107 1687836318 1768209476 2652314214 3094366583 3375672636 5304628428 6188733166 9283099749 12377466332 18566199498 37132398996