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125730004520 = 23589109457709
BaseRepresentation
bin111010100011000010…
…1111001111000101000
3110000112100012000000002
41311012011321320220
54024443340121040
6133432022202132
712040464255641
oct1650605717050
9400470160002
10125730004520
114935a34534a
122044a883348
13bb1935c3a3
14612a3526c8
15340d059a15
hex1d46179e28

125730004520 has 128 divisors (see below), whose sum is σ = 289735380000. Its totient is φ = 49093558272.

The previous prime is 125730004457. The next prime is 125730004531. The reversal of 125730004520 is 25400037521.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 8052190756 + 117677813764 = 89734^2 + 343042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177333926 + ... + 177334634.

Almost surely, 2125730004520 is an apocalyptic number.

125730004520 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 125730004520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144867690000).

125730004520 is an abundant number, since it is smaller than the sum of its proper divisors (164005375480).

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

125730004520 is a wasteful number, since it uses less digits than its factorization.

125730004520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The spelling of 125730004520 in words is "one hundred twenty-five billion, seven hundred thirty million, four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 109 178 218 356 436 445 457 545 709 712 872 890 914 1090 1418 1780 1828 2180 2285 2836 3545 3560 3656 4360 4570 5672 7090 9140 9701 14180 18280 19402 28360 38804 40673 48505 49813 63101 77281 77608 81346 97010 99626 126202 154562 162692 194020 199252 203365 249065 252404 309124 315505 324013 325384 386405 388040 398504 406730 498130 504808 618248 631010 648026 772810 813460 996260 1262020 1296052 1545620 1620065 1626920 1992520 2524040 2592104 3091240 3240130 4433357 6480260 6878009 8866714 12960520 13756018 17733428 22166785 27512036 28837157 34390045 35317417 35466856 44333570 55024072 57674314 68780090 70634834 88667140 115348628 137560180 141269668 144185785 176587085 177334280 230697256 275120360 282539336 288371570 353174170 576743140 706348340 1153486280 1412696680 3143250113 6286500226 12573000452 15716250565 25146000904 31432501130 62865002260 125730004520