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125934740736 = 2837130717923
BaseRepresentation
bin111010101001001001…
…0111010010100000000
3110001001121102200021220
41311102102322110000
54030403243200421
6133504214315040
712045531430350
oct1652222722400
9401047380256
10125934740736
1149454972732
12204a7358a80
13bb4c8b438c
146149608b60
153420eec3c6
hex1d524ba500

125934740736 has 144 divisors (see below), whose sum is σ = 383365968384. Its totient is φ = 35951818752.

The previous prime is 125934740683. The next prime is 125934740773. The reversal of 125934740736 is 637047439521.

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, 7017471 + ... + 7035393.

Almost surely, 2125934740736 is an apocalyptic number.

125934740736 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 125934740736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191682984192).

125934740736 is an abundant number, since it is smaller than the sum of its proper divisors (257431227648).

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

125934740736 is a wasteful number, since it uses less digits than its factorization.

125934740736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19256 (or 19242 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 125934740736 in words is "one hundred twenty-five billion, nine hundred thirty-four million, seven hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1307 1344 1792 2614 2688 3921 5228 5376 7842 9149 10456 15684 17923 18298 20912 27447 31368 35846 36596 41824 53769 54894 62736 71692 73192 83648 107538 109788 125461 125472 143384 146384 167296 215076 219576 250922 250944 286768 292768 334592 376383 430152 439152 501844 501888 573536 585536 752766 860304 878304 1003688 1003776 1147072 1171072 1505532 1720608 1756608 2007376 2294144 2342144 3011064 3441216 3513216 4014752 4588288 6022128 6882432 7026432 8029504 12044256 13764864 16059008 23425361 24088512 32118016 46850722 48177024 70276083 93701444 96354048 140552166 163977527 187402888 281104332 327955054 374805776 491932581 562208664 655910108 749611552 983865162 1124417328 1311820216 1499223104 1967730324 2248834656 2623640432 2998446208 3935460648 4497669312 5247280864 5996892416 7870921296 8995338624 10494561728 15741842592 17990677248 20989123456 31483685184 41978246912 62967370368 125934740736