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5153131710 = 2345371391237
BaseRepresentation
bin1001100110010011…
…01000110010111110
3111022010112012210000
410303021220302332
541023200203320
62211201255130
7241461616416
oct46311506276
914263465700
105153131710
112204899141
12bb99344a6
136417b607c
1436c563646
15202603c90
hex133268cbe

5153131710 has 160 divisors (see below), whose sum is σ = 14344656480. Its totient is φ = 1326336768.

The previous prime is 5153131691. The next prime is 5153131717. The reversal of 5153131710 is 171313515.

5153131710 is a `hidden beast` number, since 515 + 3 + 131 + 7 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5153131717) 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 79 ways as a sum of consecutive naturals, for example, 4165212 + ... + 4166448.

It is an arithmetic number, because the mean of its divisors is an integer number (89654103).

Almost surely, 25153131710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5153131710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7172328240).

5153131710 is an abundant number, since it is smaller than the sum of its proper divisors (9191524770).

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

5153131710 is a wasteful number, since it uses less digits than its factorization.

5153131710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 5153131710 is about 71785.3168133985. The cubic root of 5153131710 is about 1727.2574753971.

The spelling of 5153131710 in words is "five billion, one hundred fifty-three million, one hundred thirty-one thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 139 162 185 222 270 278 333 370 405 417 555 666 695 810 834 999 1110 1237 1251 1390 1665 1998 2085 2474 2502 2997 3330 3711 3753 4170 4995 5143 5994 6185 6255 7422 7506 9990 10286 11133 11259 12370 12510 14985 15429 18555 18765 22266 22518 25715 29970 30858 33399 37110 37530 45769 46287 51430 55665 56295 66798 77145 91538 92574 100197 111330 112590 137307 138861 154290 166995 171943 200394 228845 231435 274614 277722 333990 343886 411921 416583 457690 462870 500985 515829 686535 694305 823842 833166 859715 1001970 1031658 1235763 1373070 1388610 1547487 1719430 2059605 2082915 2471526 2579145 3094974 3707289 4119210 4165830 4642461 5158290 6178815 6361891 7414578 7737435 9284922 12357630 12723782 13927383 15474870 18536445 19085673 23212305 27854766 31809455 37072890 38171346 46424610 57257019 63618910 69636915 95428365 114514038 139273830 171771057 190856730 286285095 343542114 515313171 572570190 858855285 1030626342 1717710570 2576565855 5153131710