Search a number
-
+
125239679320 = 23571772736191
BaseRepresentation
bin111010010100011011…
…1011101100101011000
3102222021011112220021111
41310220313131211120
54022442324214240
6133311224550104
712022361465260
oct1645067354530
9388234486244
10125239679320
1149128596808
1220332622334
13ba6b8b3b32
1460c11987a0
1533ceea31ea
hex1d28ddd958

125239679320 has 128 divisors (see below), whose sum is σ = 341467176960. Its totient is φ = 40356771840.

The previous prime is 125239679309. The next prime is 125239679321. The reversal of 125239679320 is 23976932521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125239679321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3442425 + ... + 3478615.

It is an arithmetic number, because the mean of its divisors is an integer number (2667712320).

Almost surely, 2125239679320 is an apocalyptic number.

125239679320 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 125239679320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170733588480).

125239679320 is an abundant number, since it is smaller than the sum of its proper divisors (216227497640).

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

125239679320 is a wasteful number, since it uses less digits than its factorization.

125239679320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36953 (or 36949 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

It can be divided in two parts, 1252396 and 79320, that added together give a square (1331716 = 11542).

The spelling of 125239679320 in words is "one hundred twenty-five billion, two hundred thirty-nine million, six hundred seventy-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 727 952 1190 1454 2380 2908 3635 4760 5089 5816 7270 10178 12359 14540 20356 24718 25445 29080 36191 40712 49436 50890 61795 72382 86513 98872 101780 123590 144764 173026 180955 203560 247180 253337 289528 346052 361910 432565 494360 506674 615247 692104 723820 865130 1013348 1230494 1266685 1447640 1730260 2026696 2460988 2533370 3076235 3460520 4306729 4921976 5066740 6152470 8613458 10133480 12304940 17226916 21533645 24609880 26310857 34453832 43067290 52621714 86134580 105243428 131554285 172269160 184175999 210486856 263108570 368351998 447284569 526217140 736703996 894569138 920879995 1052434280 1473407992 1789138276 1841759990 2236422845 3130991983 3578276552 3683519980 4472845690 6261983966 7367039960 8945691380 12523967932 15654959915 17891382760 25047935864 31309919830 62619839660 125239679320