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312274005672 = 233712232333527
BaseRepresentation
bin1001000101101001111…
…10110010111010101000
31002212000220122010012210
410202310332302322220
520104014121140142
6355242351405120
731363304152416
oct4426476627250
91085026563183
10312274005672
11110486598442
125062bb237a0
13235a798c565
14111852c82b6
1581ca00649c
hex48b4fb2ea8

312274005672 has 128 divisors (see below), whose sum is σ = 798870159360. Its totient is φ = 101697738240.

The previous prime is 312274005661. The next prime is 312274005679. The reversal of 312274005672 is 276500472213.

It is a self number, because there is not a number n which added to its sum of digits gives 312274005672.

It is not an unprimeable number, because it can be changed into a prime (312274005679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88536373 + ... + 88539899.

It is an arithmetic number, because the mean of its divisors is an integer number (6241173120).

Almost surely, 2312274005672 is an apocalyptic number.

It is an amenable number.

312274005672 is an abundant number, since it is smaller than the sum of its proper divisors (486596153688).

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

312274005672 is a wasteful number, since it uses less digits than its factorization.

312274005672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

Adding to 312274005672 its reverse (276500472213), we get a palindrome (588774477885).

The spelling of 312274005672 in words is "three hundred twelve billion, two hundred seventy-four million, five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 223 233 284 426 446 466 568 669 699 852 892 932 1338 1398 1704 1784 1864 2676 2796 3527 5352 5592 7054 10581 14108 15833 16543 21162 28216 31666 33086 42324 47499 49629 51959 63332 66172 84648 94998 99258 103918 126664 132344 155877 189996 198516 207836 250417 311754 379992 397032 415672 500834 623508 751251 786521 821791 1001668 1247016 1502502 1573042 1643582 2003336 2359563 2465373 3005004 3146084 3287164 3689089 4719126 4930746 6010008 6292168 6574328 7378178 9438252 9861492 11067267 14756356 18876504 19722984 22134534 29512712 44269068 55842991 58347161 88538136 111685982 116694322 167528973 175041483 183259393 223371964 233388644 335057946 350082966 366518786 446743928 466777288 549778179 670115892 700165932 733037572 1099556358 1340231784 1400331864 1466075144 2199112716 4398225432 13011416903 26022833806 39034250709 52045667612 78068501418 104091335224 156137002836 312274005672