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125832097872 = 243213167402503
BaseRepresentation
bin111010100110000101…
…1010111000001010000
3110000210110021212202100
41311030023113001100
54030201004112442
6133450110320400
712043144120125
oct1651413270120
9400713255670
10125832097872
1149401a36618
1220478ab9100
13bb34556960
146139b2a74c
153416ec484c
hex1d4c2d7050

125832097872 has 120 divisors (see below), whose sum is σ = 381515831424. Its totient is φ = 38485631232.

The previous prime is 125832097847. The next prime is 125832097889. The reversal of 125832097872 is 278790238521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111373 + ... + 513875.

Almost surely, 2125832097872 is an apocalyptic number.

125832097872 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 125832097872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190757915712).

125832097872 is an abundant number, since it is smaller than the sum of its proper divisors (255683733552).

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

125832097872 is a wasteful number, since it uses less digits than its factorization.

125832097872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402697 (or 402688 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 125832097872 in words is "one hundred twenty-five billion, eight hundred thirty-two million, ninety-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 167 208 234 312 334 468 501 624 668 936 1002 1336 1503 1872 2004 2171 2672 3006 4008 4342 6012 6513 8016 8684 12024 13026 17368 19539 24048 26052 34736 39078 52104 78156 104208 156312 312624 402503 805006 1207509 1610012 2415018 3220024 3622527 4830036 5232539 6440048 7245054 9660072 10465078 14490108 15697617 19320144 20930156 28980216 31395234 41860312 47092851 57960432 62790468 67218001 83720624 94185702 125580936 134436002 188371404 201654003 251161872 268872004 376742808 403308006 537744008 604962009 753485616 806616012 873834013 1075488016 1209924018 1613232024 1747668026 2419848036 2621502039 3226464048 3495336052 4839696072 5243004078 6990672104 7864506117 9679392144 10486008156 13981344208 15729012234 20972016312 31458024468 41944032624 62916048936 125832097872