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20125153314 = 23273110350023
BaseRepresentation
bin10010101111100011…
…010111100000100010
31220221120000201022200
4102233203113200202
5312204014401224
613124555514030
71311501660240
oct225743274042
956846021280
1020125153314
118598140612
123a97a58916
131b895b7356
14d8cb83790
157cbc3d5c9
hex4af8d7822

20125153314 has 96 divisors (see below), whose sum is σ = 51941720064. Its totient is φ = 5510423520.

The previous prime is 20125153313. The next prime is 20125153327. The reversal of 20125153314 is 41335152102.

20125153314 is a `hidden beast` number, since 2 + 0 + 125 + 1 + 533 + 1 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (20125153313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377307 + ... + 427329.

It is an arithmetic number, because the mean of its divisors is an integer number (541059584).

Almost surely, 220125153314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20125153314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25970860032).

20125153314 is an abundant number, since it is smaller than the sum of its proper divisors (31816566750).

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

20125153314 is a wasteful number, since it uses less digits than its factorization.

20125153314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50172 (or 50169 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 20125153314 in words is "twenty billion, one hundred twenty-five million, one hundred fifty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 103 126 186 206 217 279 309 434 558 618 651 721 927 1302 1442 1854 1953 2163 3193 3906 4326 6386 6489 9579 12978 19158 22351 28737 44702 50023 57474 67053 100046 134106 150069 201159 300138 350161 402318 450207 700322 900414 1050483 1550713 2100966 3101426 3151449 4652139 5152369 6302898 9304278 10304738 10854991 13956417 15457107 21709982 27912834 30914214 32564973 36066583 46371321 65129946 72133166 92742642 97694919 108199749 159723439 195389838 216399498 319446878 324599247 479170317 649198494 958340634 1118064073 1437510951 2236128146 2875021902 3354192219 6708384438 10062576657 20125153314