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125554002432 = 293179456653
BaseRepresentation
bin111010011101110011…
…0100000101000000000
3110000002002000011112020
41310323212200220000
54024113311034212
6133402334001440
712033226261215
oct1647346405000
9400062004466
10125554002432
1149279a63381
12203bb946280
13babba58141
146110c19b0c
1533ec890d8c
hex1d3b9a0a00

125554002432 has 80 divisors (see below), whose sum is σ = 336353070240. Its totient is φ = 41617436672.

The previous prime is 125554002361. The next prime is 125554002443. The reversal of 125554002432 is 234200455521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 125554002393 and 125554002402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46618 + ... + 503270.

It is an arithmetic number, because the mean of its divisors is an integer number (4204413378).

Almost surely, 2125554002432 is an apocalyptic number.

125554002432 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 125554002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168176535120).

125554002432 is an abundant number, since it is smaller than the sum of its proper divisors (210799067808).

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

125554002432 is an equidigital number, since it uses as much as digits as its factorization.

125554002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456853 (or 456837 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 125554002432 its reverse (234200455521), we get a palindrome (359754457953).

The spelling of 125554002432 in words is "one hundred twenty-five billion, five hundred fifty-four million, two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 256 358 384 512 537 716 768 1074 1432 1536 2148 2864 4296 5728 8592 11456 17184 22912 34368 45824 68736 91648 137472 274944 456653 913306 1369959 1826612 2739918 3653224 5479836 7306448 10959672 14612896 21919344 29225792 43838688 58451584 81740887 87677376 116903168 163481774 175354752 233806336 245222661 326963548 350709504 490445322 653927096 701419008 980890644 1307854192 1961781288 2615708384 3923562576 5231416768 7847125152 10462833536 15694250304 20925667072 31388500608 41851334144 62777001216 125554002432