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125535000408 = 233231086120939
BaseRepresentation
bin111010011101001111…
…0000001011101011000
3110000000202020202122120
41310322132001131120
54024043430003113
6133400414421240
712032605616556
oct1647236013530
9400022222576
10125535000408
114926a264924
12203b5501820
13bab7b3403c
14610c4b0bd6
1533ead8aa23
hex1d3a781758

125535000408 has 64 divisors (see below), whose sum is σ = 327528403200. Its totient is φ = 40020055680.

The previous prime is 125535000337. The next prime is 125535000427. The reversal of 125535000408 is 804000535521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5984803 + ... + 6005741.

It is an arithmetic number, because the mean of its divisors is an integer number (5117631300).

Almost surely, 2125535000408 is an apocalyptic number.

It is an amenable number.

125535000408 is an abundant number, since it is smaller than the sum of its proper divisors (201993402792).

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

125535000408 is a wasteful number, since it uses less digits than its factorization.

125535000408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31832 (or 31828 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 125535000408 its reverse (804000535521), we get a palindrome (929535535929).

The spelling of 125535000408 in words is "one hundred twenty-five billion, five hundred thirty-five million, four hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 10861 20939 21722 32583 41878 43444 62817 65166 83756 86888 125634 130332 167512 249803 251268 260664 481597 499606 502536 749409 963194 999212 1444791 1498818 1926388 1998424 2889582 2997636 3852776 5779164 5995272 11558328 227418479 454836958 682255437 909673916 1364510874 1819347832 2729021748 5230625017 5458043496 10461250034 15691875051 20922500068 31383750102 41845000136 62767500204 125535000408