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125785229312 = 2111724612
BaseRepresentation
bin111010100100101100…
…0100100100000000000
3110000200012002201011202
41311021120210200000
54030102004314222
6133441314000332
712042034544111
oct1651130444000
9400605081152
10125785229312
1149388534576
12204652760a8
13bb27926992
14613380a208
153412d17892
hex1d49624800

125785229312 has 108 divisors (see below), whose sum is σ = 267754773195. Its totient is φ = 59064647680.

The previous prime is 125785229303. The next prime is 125785229359. The reversal of 125785229312 is 213922587521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 76848710656 + 48936518656 = 277216^2 + 221216^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=250784.

It is a Duffinian number.

Its product of digits (604800) is a multiple of the sum of its prime divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 272852762 + ... + 272853222.

Almost surely, 2125785229312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125785229312

125785229312 is an abundant number, since it is smaller than the sum of its proper divisors (141969543883).

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

125785229312 is an frugal number, since it uses more digits than its factorization.

125785229312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 480 counting only the distinct ones).

The product of its digits is 604800, while the sum is 47.

The spelling of 125785229312 in words is "one hundred twenty-five billion, seven hundred eighty-five million, two hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 461 512 544 578 922 1024 1088 1156 1844 2048 2176 2312 3688 4352 4624 7376 7837 8704 9248 14752 15674 17408 18496 29504 31348 34816 36992 59008 62696 73984 118016 125392 133229 147968 212521 236032 250784 266458 295936 425042 472064 501568 532916 591872 850084 944128 1003136 1065832 1700168 2006272 2131664 3400336 3612857 4012544 4263328 6800672 7225714 8025088 8526656 13601344 14451428 16050176 17053312 27202688 28902856 34106624 54405376 57805712 61418569 68213248 108810752 115611424 122837138 136426496 217621504 231222848 245674276 272852992 435243008 462445696 491348552 924891392 982697104 1849782784 1965394208 3699565568 3930788416 7399131136 7861576832 15723153664 31446307328 62892614656 125785229312