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137477293183816 = 231743131373481109
BaseRepresentation
bin11111010000100011101101…
…001110011001001101001000
3200000202200220221022012101121
4133100203231032121031020
5121004411444023340231
61204220110244525024
740646256325122145
oct3720435516311510
9600680827265347
10137477293183816
113a893879a81983
121350402b3b0774
135b9308c921871
1425d3d17a473cc
1510d61771d0311
hex7d08ed399348

137477293183816 has 128 divisors (see below), whose sum is σ = 282167089142400. Its totient is φ = 62540037181440.

The previous prime is 137477293183793. The next prime is 137477293183829. The reversal of 137477293183816 is 618381392774731.

It is a super-2 number, since 2×1374772931838162 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285510270 + ... + 285991378.

It is an arithmetic number, because the mean of its divisors is an integer number (2204430383925).

Almost surely, 2137477293183816 is an apocalyptic number.

It is an amenable number.

137477293183816 is an abundant number, since it is smaller than the sum of its proper divisors (144689795958584).

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

137477293183816 is a wasteful number, since it uses less digits than its factorization.

137477293183816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481679 (or 481675 counting only the distinct ones).

The product of its digits is 256048128, while the sum is 70.

The spelling of 137477293183816 in words is "one hundred thirty-seven trillion, four hundred seventy-seven billion, two hundred ninety-three million, one hundred eighty-three thousand, eight hundred sixteen".

Divisors: 1 2 4 8 17 34 43 68 86 131 136 172 262 344 373 524 731 746 1048 1462 1492 2227 2924 2984 4454 5633 5848 6341 8908 11266 12682 16039 17816 22532 25364 32078 45064 48863 50728 64156 95761 97726 128312 191522 195452 272663 383044 390904 481109 545326 766088 830671 962218 1090652 1661342 1924436 2101109 2181304 3322684 3848872 4202218 6645368 8178853 8404436 16357706 16808872 20687687 32715412 35718853 41375374 63025279 65430824 71437706 82750748 126050558 142875412 165501496 179453657 252101116 285750824 351690679 358907314 504202232 703381358 717814628 1071429743 1406762716 1435629256 2142859486 2710086997 2813525432 3050712169 4285718972 5420173994 6101424338 7716507251 8571437944 10840347988 12202848676 15433014502 21680695976 23508429067 24405697352 30866029004 46071478949 47016858134 61732058008 92142957898 94033716268 131180623267 184285915796 188067432536 262361246534 368571831592 399643294139 524722493068 799286588278 1010862449881 1049444986136 1598573176556 2021724899762 3197146353112 4043449799524 8086899599048 17184661647977 34369323295954 68738646591908 137477293183816