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37809143379396 = 2232432238332
BaseRepresentation
bin10001001100011001000001…
…00011110111010111000100
311221212112000012200021102100
420212030200203313113010
514423431111201120041
6212225140343312100
710651422551036304
oct1046144043672704
9157775005607370
1037809143379396
1111057849834394
1242a77b974b630
1318135050b5abc
14949d88003604
154587813696b6
hex2263208f75c4

37809143379396 has 81 divisors (see below), whose sum is σ = 97851537751149. Its totient is φ = 12309437149632.

The previous prime is 37809143379379. The next prime is 37809143379503. The reversal of 37809143379396 is 69397334190873.

The square root of 37809143379396 is 6148914.

It is a perfect power (a square), and thus also a powerful number.

37809143379396 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 91 + 433 + 79 + 39 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33324642562500 + 4484500816896 = 5772750^2 + 2117664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1586407896 + ... + 1586431728.

Almost surely, 237809143379396 is an apocalyptic number.

37809143379396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

37809143379396 is the 6148914-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37809143379396

37809143379396 is an abundant number, since it is smaller than the sum of its proper divisors (60042394371753).

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

37809143379396 is an frugal number, since it uses more digits than its factorization.

37809143379396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47762 (or 23881 counting only the distinct ones).

The product of its (nonzero) digits is 555532992, while the sum is 72.

The spelling of 37809143379396 in words is "thirty-seven trillion, eight hundred nine billion, one hundred forty-three million, three hundred seventy-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 1849 3698 5547 7396 11094 16641 22188 23833 33282 47666 66564 71499 95332 142998 214497 285996 428994 857988 1024819 2049638 3074457 4099276 6148914 9223371 12297828 18446742 36893484 44067217 88134434 132201651 176268868 264403302 396604953 528806604 568011889 793209906 1136023778 1586419812 1704035667 2272047556 3408071334 5112107001 6816142668 10224214002 20448428004 24424511227 48849022454 73273533681 97698044908 146547067362 219820601043 293094134724 439641202086 879282404172 1050253982761 2100507965522 3150761948283 4201015931044 6301523896566 9452285844849 12603047793132 18904571689698 37809143379396