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125912244680 = 235372772811093
BaseRepresentation
bin111010101000011110…
…1000110000111001000
3110001000001002202111122
41311100331012013020
54030332013312210
6133502052214412
712045136264235
oct1652075060710
9401001082448
10125912244680
11494431a8052
122049b90a408
13bb48038ac1
14614663078c
15341e056b55
hex1d50f461c8

125912244680 has 128 divisors (see below), whose sum is σ = 293317066080. Its totient is φ = 48608501760.

The previous prime is 125912244677. The next prime is 125912244701. The reversal of 125912244680 is 86442219521.

It can be written as a sum of positive squares in 16 ways, for example, as 63868409284 + 62043835396 = 252722^2 + 249086^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115198214 + ... + 115199306.

Almost surely, 2125912244680 is an apocalyptic number.

125912244680 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 125912244680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146658533040).

125912244680 is an abundant number, since it is smaller than the sum of its proper divisors (167404821400).

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

125912244680 is a wasteful number, since it uses less digits than its factorization.

125912244680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 125912244680 in words is "one hundred twenty-five billion, nine hundred twelve million, two hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 277 281 296 370 554 562 740 1093 1108 1124 1385 1405 1480 2186 2216 2248 2770 2810 4372 5465 5540 5620 8744 10249 10397 10930 11080 11240 20498 20794 21860 40441 40996 41588 43720 51245 51985 77837 80882 81992 83176 102490 103970 155674 161764 202205 204980 207940 302761 307133 311348 323528 389185 404410 409960 415880 605522 614266 622696 778370 808820 1211044 1228532 1513805 1535665 1556740 1617640 2422088 2457064 2879969 3027610 3071330 3113480 5759938 6055220 6142660 11202157 11363921 11519876 12110440 12285320 14399845 22404314 22727842 23039752 28799690 44808628 45455684 56010785 56819605 57599380 85075841 89617256 90911368 112021570 113639210 115198760 170151682 224043140 227278420 340303364 425379205 448086280 454556840 680606728 850758410 1701516820 3147806117 3403033640 6295612234 12591224468 15739030585 25182448936 31478061170 62956122340 125912244680