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125958606930 = 23451313787313
BaseRepresentation
bin111010101001110110…
…1111101000001010010
3110001010021100012120000
41311103231331001102
54030430400410210
6133510430030430
712046241331162
oct1652355750122
9401107305500
10125958606930
1149467393762
12204b3348416
13bb5481c4a0
14614c85c5a2
153423163ac0
hex1d53b7d052

125958606930 has 160 divisors (see below), whose sum is σ = 367408231344. Its totient is φ = 30778527744.

The previous prime is 125958606911. The next prime is 125958606941. The reversal of 125958606930 is 39606859521.

It is a happy number.

125958606930 is a `hidden beast` number, since 1 + 2 + 59 + 586 + 0 + 6 + 9 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10155197529 + 115803409401 = 100773^2 + 340299^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1398954 + ... + 1486266.

Almost surely, 2125958606930 is an apocalyptic number.

125958606930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125958606930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183704115672).

125958606930 is an abundant number, since it is smaller than the sum of its proper divisors (241449624414).

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

125958606930 is a wasteful number, since it uses less digits than its factorization.

125958606930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87482 (or 87473 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 125958606930 in words is "one hundred twenty-five billion, nine hundred fifty-eight million, six hundred six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 137 162 195 234 270 274 351 390 405 411 585 685 702 810 822 1053 1170 1233 1370 1755 1781 2055 2106 2466 3510 3562 3699 4110 5265 5343 6165 7398 8905 10530 10686 11097 12330 16029 17810 18495 22194 26715 32058 36990 48087 53430 55485 80145 87313 96174 110970 144261 160290 174626 240435 261939 288522 436565 480870 523878 721305 785817 873130 1135069 1309695 1442610 1571634 2270138 2357451 2619390 3405207 3929085 4714902 5675345 6810414 7072353 7858170 10215621 11350690 11787255 11961881 14144706 17026035 20431242 23574510 23923762 30646863 34052070 35361765 35885643 51078105 59809405 61293726 70723530 71771286 91940589 102156210 107656929 119618810 153234315 155504453 179428215 183881178 215313858 306468630 311008906 322970787 358856430 459702945 466513359 538284645 645941574 777522265 919405890 933026718 968912361 1076569290 1399540077 1555044530 1614853935 1937824722 2332566795 2799080154 3229707870 4198620231 4665133590 4844561805 6997700385 8397240462 9689123610 12595860693 13995400770 20993101155 25191721386 41986202310 62979303465 125958606930