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126730634560 = 2654720274157
BaseRepresentation
bin111011000000110111…
…1000000010101000000
3110010010002001021100221
41312001233000111000
54034021020301220
6134115205152424
712104334422455
oct1660157002500
9403102037327
10126730634560
1149823159522
12206899bb714
13bc4875a27a
1461c31c582c
15346ad129aa
hex1d81bc0540

126730634560 has 112 divisors (see below), whose sum is σ = 308424340224. Its totient is φ = 49577289728.

The previous prime is 126730634551. The next prime is 126730634609. The reversal of 126730634560 is 65436037621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30484002 + ... + 30488158.

It is an arithmetic number, because the mean of its divisors is an integer number (2753788752).

Almost surely, 2126730634560 is an apocalyptic number.

126730634560 is a gapful number since it is divisible by the number (10) 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 126730634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154212170112).

126730634560 is an abundant number, since it is smaller than the sum of its proper divisors (181693705664).

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

126730634560 is a wasteful number, since it uses less digits than its factorization.

126730634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6248 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 126730634560 in words is "one hundred twenty-six billion, seven hundred thirty million, six hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 752 940 1504 1880 2027 3008 3760 4054 4157 7520 8108 8314 10135 15040 16216 16628 20270 20785 32432 33256 40540 41570 64864 66512 81080 83140 95269 129728 133024 162160 166280 190538 195379 266048 324320 332560 381076 390758 476345 648640 665120 762152 781516 952690 976895 1330240 1524304 1563032 1905380 1953790 3048608 3126064 3810760 3907580 6097216 6252128 7621520 7815160 8426239 12504256 15243040 15630320 16852478 30486080 31260640 33704956 42131195 62521280 67409912 84262390 134819824 168524780 269639648 337049560 396033233 539279296 674099120 792066466 1348198240 1584132932 1980166165 2696396480 3168265864 3960332330 6336531728 7920664660 12673063456 15841329320 25346126912 31682658640 63365317280 126730634560