Search a number
-
+
316364101152352 = 251129211146880479
BaseRepresentation
bin100011111101110110100000…
…1110111100110111001100000
31112111011010001011021100110121
41013323231001313212321200
5312431302134343333402
63040503354531410024
7123431360230314301
oct10773550167467140
91474133034240417
10316364101152352
1191892297561760
122b595595453914
131076b011a25776
14581a165cb07a8
152689552702837
hex11fbb41de6e60

316364101152352 has 96 divisors (see below), whose sum is σ = 706224848716800. Its totient is φ = 138185153702400.

The previous prime is 316364101152343. The next prime is 316364101152373. The reversal of 316364101152352 is 253251101463613.

It is a junction number, because it is equal to n+sod(n) for n = 316364101152299 and 316364101152308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71286352 + ... + 75594127.

It is an arithmetic number, because the mean of its divisors is an integer number (7356508840800).

Almost surely, 2316364101152352 is an apocalyptic number.

316364101152352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

316364101152352 is an abundant number, since it is smaller than the sum of its proper divisors (389860747564448).

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

316364101152352 is a wasteful number, since it uses less digits than its factorization.

316364101152352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146880740 (or 146880732 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 316364101152352 in words is "three hundred sixteen trillion, three hundred sixty-four billion, one hundred one million, one hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 211 232 319 352 422 464 638 844 928 1276 1688 2321 2552 3376 4642 5104 6119 6752 9284 10208 12238 18568 24476 37136 48952 67309 74272 97904 134618 195808 269236 538472 1076944 2153888 146880479 293760958 587521916 1175043832 1615685269 2350087664 3231370538 4259533891 4700175328 6462741076 8519067782 12925482152 17038135564 25850964304 30991781069 34076271128 46854872801 51701928608 61983562138 68152542256 93709745602 123967124276 136305084512 187419491204 247934248552 340909591759 374838982408 495868497104 681819183518 749677964816 898761651001 991736994208 1363638367036 1499355929632 1797523302002 2727276734072 3595046604004 5454553468144 7190093208008 9886378161011 10909106936288 14380186416016 19772756322022 28760372832032 39545512644044 79091025288088 158182050576176 316364101152352