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125690233590 = 23251032131639
BaseRepresentation
bin111010100001110111…
…0001100001011110110
3110000102120100102112200
41311003232030023312
54024403144433330
6133424041525330
712036502233465
oct1650356141366
9400376312480
10125690233590
1149339950909
12204394a3846
13bb11045bac
146124d5c9dc
153409800a60
hex1d43b8c2f6

125690233590 has 72 divisors (see below), whose sum is σ = 330000680880. Its totient is φ = 33191731872.

The previous prime is 125690233589. The next prime is 125690233597. The reversal of 125690233590 is 95332096521.

125690233590 is a `hidden beast` number, since 1 + 2 + 56 + 9 + 0 + 2 + 3 + 3 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125690233597) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 888991 + ... + 1020629.

It is an arithmetic number, because the mean of its divisors is an integer number (4583342790).

Almost surely, 2125690233590 is an apocalyptic number.

125690233590 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 125690233590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165000340440).

125690233590 is an abundant number, since it is smaller than the sum of its proper divisors (204310447290).

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

125690233590 is a wasteful number, since it uses less digits than its factorization.

125690233590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131858 (or 131752 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 125690233590 in words is "one hundred twenty-five billion, six hundred ninety million, two hundred thirty-three thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 10609 21218 31827 53045 63654 95481 106090 131639 159135 190962 263278 318270 394917 477405 658195 789834 954810 1184751 1316390 1974585 2369502 3949170 5923755 11847510 13558817 27117634 40676451 67794085 81352902 122029353 135588170 203382255 244058706 406764510 610146765 1220293530 1396558151 2793116302 4189674453 6982790755 8379348906 12569023359 13965581510 20948372265 25138046718 41896744530 62845116795 125690233590