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125878206672 = 243231100927947
BaseRepresentation
bin111010100111011101…
…1010000000011010000
3110000220200001110010200
41311032323100003100
54030244310103142
6133454434455200
712044244050121
oct1651673200320
9400820043120
10125878206672
1149425a69869
1220490434500
13bb40c7bb7a
146141cd0048
15341b08164c
hex1d4eed00d0

125878206672 has 120 divisors (see below), whose sum is σ = 364021582080. Its totient is φ = 40564177920.

The previous prime is 125878206667. The next prime is 125878206673. The reversal of 125878206672 is 276602878521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125878206673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4490203 + ... + 4518149.

It is an arithmetic number, because the mean of its divisors is an integer number (3033513184).

Almost surely, 2125878206672 is an apocalyptic number.

125878206672 is a gapful number since it is divisible by the number (12) 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 125878206672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182010791040).

125878206672 is an abundant number, since it is smaller than the sum of its proper divisors (238143375408).

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

125878206672 is a wasteful number, since it uses less digits than its factorization.

125878206672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29001 (or 28992 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 125878206672 in words is "one hundred twenty-five billion, eight hundred seventy-eight million, two hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1009 1116 1488 2018 2232 3027 4036 4464 6054 8072 9081 12108 16144 18162 24216 27947 31279 36324 48432 55894 62558 72648 83841 93837 111788 125116 145296 167682 187674 223576 250232 251523 281511 335364 375348 447152 500464 503046 563022 670728 750696 866357 1006092 1126044 1341456 1501392 1732714 2012184 2252088 2599071 3465428 4024368 4504176 5198142 6930856 7797213 10396284 13861712 15594426 20792568 28198523 31188852 41585136 56397046 62377704 84595569 112794092 124755408 169191138 225588184 253786707 338382276 451176368 507573414 676764552 874154213 1015146828 1353529104 1748308426 2030293656 2622462639 3496616852 4060587312 5244925278 6993233704 7867387917 10489850556 13986467408 15734775834 20979701112 31469551668 41959402224 62939103336 125878206672