Search a number
-
+
46752258101320 = 235291512417110431
BaseRepresentation
bin10101010000101010110111…
…01111001001000001001000
320010112110202020210120020201
422220111123233021001020
522111442111033220240
6243233405121101544
712563511352652032
oct1250253357110110
9203473666716221
1046752258101320
1113995580962102
1252b0a987878b4
1320119468c9525
14b78b6db82c52
15561200998d9a
hex2a855bbc9048

46752258101320 has 128 divisors (see below), whose sum is σ = 109586885990400. Its totient is φ = 17928884736000.

The previous prime is 46752258101293. The next prime is 46752258101357. The reversal of 46752258101320 is 2310185225764.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423306505 + ... + 423416935.

It is an arithmetic number, because the mean of its divisors is an integer number (856147546800).

Almost surely, 246752258101320 is an apocalyptic number.

46752258101320 is a gapful number since it is divisible by the number (40) 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 46752258101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54793442995200).

46752258101320 is an abundant number, since it is smaller than the sum of its proper divisors (62834627889080).

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

46752258101320 is a wasteful number, since it uses less digits than its factorization.

46752258101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113039 (or 113035 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 46752258101320 in words is "forty-six trillion, seven hundred fifty-two billion, two hundred fifty-eight million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 151 232 290 302 580 604 755 1160 1208 1510 2417 3020 4379 4834 6040 8758 9668 12085 17516 19336 21895 24170 35032 43790 48340 70093 87580 96680 110431 140186 175160 220862 280372 350465 364967 441724 552155 560744 700930 729934 883448 1104310 1401860 1459868 1824835 2208620 2803720 2919736 3202499 3649670 4417240 6404998 7299340 10584043 12809996 14598680 16012495 16675081 21168086 25619992 32024990 33350162 42336172 52920215 64049980 66700324 83375405 84672344 105840430 128099960 133400648 166750810 211680860 266911727 333501620 423361720 483577349 533823454 667003240 967154698 1067646908 1334558635 1934309396 2135293816 2417886745 2669117270 3868618792 4835773490 5338234540 7740440083 9671546980 10676469080 15480880166 19343093960 30961760332 38702200415 40303670777 61923520664 77404400830 80607341554 154808801660 161214683108 201518353885 309617603320 322429366216 403036707770 806073415540 1168806452533 1612146831080 2337612905066 4675225810132 5844032262665 9350451620264 11688064525330 23376129050660 46752258101320