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125625012576 = 2537473977489
BaseRepresentation
bin111010011111111010…
…1011001000101100000
3110000021000121212010120
41310333311121011200
54024240000400301
6133413352000240
712035050662660
oct1647765310540
9400230555116
10125625012576
1149306054348
122041b690080
13bb0068b68b
14611a4221a0
153403c1ae36
hex1d3fd59160

125625012576 has 96 divisors (see below), whose sum is σ = 384893752320. Its totient is φ = 35129174016.

The previous prime is 125625012571. The next prime is 125625012629. The reversal of 125625012576 is 675210526521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125625012571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1957161 + ... + 2020328.

It is an arithmetic number, because the mean of its divisors is an integer number (4009309920).

Almost surely, 2125625012576 is an apocalyptic number.

125625012576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125625012576 is an abundant number, since it is smaller than the sum of its proper divisors (259268739744).

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

125625012576 is a wasteful number, since it uses less digits than its factorization.

125625012576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977556 (or 3977548 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 125625012576 in words is "one hundred twenty-five billion, six hundred twenty-five million, twelve thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 658 672 752 987 1128 1316 1504 1974 2256 2632 3948 4512 5264 7896 10528 15792 31584 3977489 7954978 11932467 15909956 23864934 27842423 31819912 47729868 55684846 63639824 83527269 95459736 111369692 127279648 167054538 186941983 190919472 222739384 334109076 373883966 381838944 445478768 560825949 668218152 747767932 890957536 1121651898 1308593881 1336436304 1495535864 2243303796 2617187762 2672872608 2991071728 3925781643 4486607592 5234375524 5982143456 7851563286 8973215184 10468751048 15703126572 17946430368 20937502096 31406253144 41875004192 62812506288 125625012576