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125000690520 = 233547179123817
BaseRepresentation
bin111010001101010011…
…1110010101101011000
3102221122111212000021110
41310122213302231120
54022000134044040
6133231410340320
712013430224026
oct1643247625530
9387574760243
10125000690520
11490156a3a02
122028658a6a0
13ba31228344
14609b547716
1533b8ee6980
hex1d1a9f2b58

125000690520 has 128 divisors (see below), whose sum is σ = 385123507200. Its totient is φ = 32441773056.

The previous prime is 125000690519. The next prime is 125000690527. The reversal of 125000690520 is 25096000521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125000690527) 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, 947652 + ... + 1071468.

It is an arithmetic number, because the mean of its divisors is an integer number (3008777400).

Almost surely, 2125000690520 is an apocalyptic number.

125000690520 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 125000690520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192561753600).

125000690520 is an abundant number, since it is smaller than the sum of its proper divisors (260122816680).

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

125000690520 is a wasteful number, since it uses less digits than its factorization.

125000690520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124057 (or 124053 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 125000690520 in words is "one hundred twenty-five billion, six hundred ninety thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 179 188 235 282 358 376 470 537 564 705 716 895 940 1074 1128 1410 1432 1790 1880 2148 2685 2820 3580 4296 5370 5640 7160 8413 10740 16826 21480 25239 33652 42065 50478 67304 84130 100956 123817 126195 168260 201912 247634 252390 336520 371451 495268 504780 619085 742902 990536 1009560 1238170 1485804 1857255 2476340 2971608 3714510 4952680 5819399 7429020 11638798 14858040 17458197 22163243 23277596 29096995 34916394 44326486 46555192 58193990 66489729 69832788 87290985 88652972 110816215 116387980 132979458 139665576 174581970 177305944 221632430 232775960 265958916 332448645 349163940 443264860 531917832 664897290 698327880 886529720 1041672421 1329794580 2083344842 2659589160 3125017263 4166689684 5208362105 6250034526 8333379368 10416724210 12500069052 15625086315 20833448420 25000138104 31250172630 41666896840 62500345260 125000690520