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125790873432 = 23373779725391
BaseRepresentation
bin111010100100110111…
…0000110011101011000
3110000200120201110110020
41311021232012131120
54030104430422212
6133442034550440
712042133532220
oct1651156063530
9400616643406
10125790873432
114939073a034
1220467138420
13bb28b519b3
146134479080
15341357ed8c
hex1d49b86758

125790873432 has 128 divisors (see below), whose sum is σ = 369593763840. Its totient is φ = 34923640320.

The previous prime is 125790873413. The next prime is 125790873437. The reversal of 125790873432 is 234378097521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125790873437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4941457 + ... + 4966847.

It is an arithmetic number, because the mean of its divisors is an integer number (2887451280).

Almost surely, 2125790873432 is an apocalyptic number.

125790873432 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 125790873432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184796881920).

125790873432 is an abundant number, since it is smaller than the sum of its proper divisors (243802890408).

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

125790873432 is a wasteful number, since it uses less digits than its factorization.

125790873432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26241 (or 26237 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 125790873432 in words is "one hundred twenty-five billion, seven hundred ninety million, eight hundred seventy-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 797 888 1036 1554 1594 2072 2391 3108 3188 4782 5579 6216 6376 9564 11158 16737 19128 22316 25391 29489 33474 44632 50782 58978 66948 76173 88467 101564 117956 133896 152346 176934 177737 203128 206423 235912 304692 353868 355474 412846 533211 609384 619269 707736 710948 825692 939467 1066422 1238538 1421896 1651384 1878934 2132844 2477076 2818401 3757868 4265688 4954152 5636802 6576269 7515736 11273604 13152538 19728807 20236627 22547208 26305076 39457614 40473254 52610152 60709881 78915228 80946508 121419762 141656389 157830456 161893016 242839524 283312778 424969167 485679048 566625556 748755199 849938334 1133251112 1497510398 1699876668 2246265597 2995020796 3399753336 4492531194 5241286393 5990041592 8985062388 10482572786 15723859179 17970124776 20965145572 31447718358 41930291144 62895436716 125790873432