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125421466656 = 25319131524899
BaseRepresentation
bin111010011001110110…
…0111011010000100000
3102222201211121122121210
41310303230323100200
54023330343413111
6133341241150120
712030026606433
oct1646354732040
9388654548553
10125421466656
114921116a282
122038348b340
13ba9a4623c5
1460db39981a
1533e0e110a6
hex1d33b3b420

125421466656 has 96 divisors (see below), whose sum is σ = 349205472000. Its totient is φ = 39304362240.

The previous prime is 125421466631. The next prime is 125421466673. The reversal of 125421466656 is 656664124521.

It is a happy number.

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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23506 + ... + 501393.

It is an arithmetic number, because the mean of its divisors is an integer number (3637557000).

Almost surely, 2125421466656 is an apocalyptic number.

125421466656 is a gapful number since it is divisible by the number (16) 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 125421466656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174602736000).

125421466656 is an abundant number, since it is smaller than the sum of its proper divisors (223784005344).

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

125421466656 is a wasteful number, since it uses less digits than its factorization.

125421466656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525062 (or 525054 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 125421466656 in words is "one hundred twenty-five billion, four hundred twenty-one million, four hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 131 152 228 262 304 393 456 524 608 786 912 1048 1572 1824 2096 2489 3144 4192 4978 6288 7467 9956 12576 14934 19912 29868 39824 59736 79648 119472 238944 524899 1049798 1574697 2099596 3149394 4199192 6298788 8398384 9973081 12597576 16796768 19946162 25195152 29919243 39892324 50390304 59838486 68761769 79784648 119676972 137523538 159569296 206285307 239353944 275047076 319138592 412570614 478707888 550094152 825141228 957415776 1100188304 1306473611 1650282456 2200376608 2612947222 3300564912 3919420833 5225894444 6601129824 7838841666 10451788888 15677683332 20903577776 31355366664 41807155552 62710733328 125421466656