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137615994096 = 24373115978273
BaseRepresentation
bin1000000000101010001…
…1010110110011110000
3111011012200202211110020
42000022203112303300
54223314143302341
6143115300203440
712641152435530
oct2001243266360
9434180684406
10137615994096
11533a9706229
1222807399580
13cc919b6309
146936b734c0
1538a67a9566
hex200a8d6cf0

137615994096 has 160 divisors (see below), whose sum is σ = 419714469888. Its totient is φ = 38022082560.

The previous prime is 137615994079. The next prime is 137615994107. The reversal of 137615994096 is 690499516731.

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, 16630216 + ... + 16638488.

Almost surely, 2137615994096 is an apocalyptic number.

137615994096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137615994096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209857234944).

137615994096 is an abundant number, since it is smaller than the sum of its proper divisors (282098475792).

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

137615994096 is a wasteful number, since it uses less digits than its factorization.

137615994096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9919 (or 9913 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 60.

The spelling of 137615994096 in words is "one hundred thirty-seven billion, six hundred fifteen million, nine hundred ninety-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1597 1736 2604 3194 3472 4791 5208 6388 8273 9582 10416 11179 12776 16546 19164 22358 24819 25552 33092 33537 38328 44716 49507 49638 57911 66184 67074 76656 89432 99014 99276 115822 132368 134148 148521 173733 178864 198028 198552 231644 256463 268296 297042 346549 347466 396056 397104 463288 512926 536592 594084 693098 694932 769389 792112 926576 1025852 1039647 1188168 1386196 1389864 1538778 1795241 2051704 2079294 2376336 2772392 2779728 3077556 3590482 4103408 4158588 5385723 5544784 6155112 7180964 8317176 10771446 12310224 13211981 14361928 16634352 21542892 26423962 28723856 39635943 43085784 52847924 79271886 86171568 92483867 105695848 158543772 184967734 211391696 277451601 317087544 369935468 409571411 554903202 634175088 739870936 819142822 1109806404 1228714233 1479741872 1638285644 2219612808 2457428466 2866999877 3276571288 4439225616 4914856932 5733999754 6553142576 8600999631 9829713864 11467999508 17201999262 19659427728 22935999016 34403998524 45871998032 68807997048 137615994096