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125453530332 = 2232134096471013
BaseRepresentation
bin111010011010110011…
…1001111010011011100
3102222211001221122201100
41310311213033103130
54023412100432312
6133344344313100
712030566261514
oct1646547172334
9388731848640
10125453530332
114922827a189
1220392172790
13baa3caa7b0
146101744844
1533e3b465dc
hex1d359cf4dc

125453530332 has 144 divisors (see below), whose sum is σ = 343214988480. Its totient is φ = 38409237504.

The previous prime is 125453530331. The next prime is 125453530351. The reversal of 125453530332 is 233035354521.

125453530332 is a `hidden beast` number, since 12 + 54 + 535 + 30 + 3 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125453530331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123843058 + ... + 123844070.

It is an arithmetic number, because the mean of its divisors is an integer number (2383437420).

Almost surely, 2125453530332 is an apocalyptic number.

125453530332 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 125453530332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171607494240).

125453530332 is an abundant number, since it is smaller than the sum of its proper divisors (217761458148).

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

125453530332 is a wasteful number, since it uses less digits than its factorization.

125453530332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 125453530332 its reverse (233035354521), we get a palindrome (358488884853).

The spelling of 125453530332 in words is "one hundred twenty-five billion, four hundred fifty-three million, five hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 409 468 647 818 1013 1227 1294 1636 1941 2026 2454 2588 3039 3681 3882 4052 4908 5317 5823 6078 7362 7764 8411 9117 10634 11646 12156 13169 14724 15951 16822 18234 21268 23292 25233 26338 31902 33644 36468 39507 47853 50466 52676 63804 75699 79014 95706 100932 118521 151398 158028 191412 237042 264623 302796 414317 474084 529246 655411 793869 828634 1058492 1242951 1310822 1587738 1657268 1966233 2381607 2485902 2621644 3175476 3440099 3728853 3932466 4763214 4971804 5386121 5898699 6880198 7457706 7864932 8520343 9526428 10320297 10772242 11797398 13760396 14915412 16158363 17040686 20640594 21544484 23594796 25561029 30960891 32316726 34081372 41281188 48475089 51122058 61921782 64633452 76683087 96950178 102244116 123843564 153366174 193900356 268063099 306732348 536126198 804189297 1072252396 1608378594 2412567891 3216757188 3484820287 4825135782 6969640574 9650271564 10454460861 13939281148 20908921722 31363382583 41817843444 62726765166 125453530332