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2053462918756 = 2219294575693583
BaseRepresentation
bin11101111000011011111…
…011011000011001100100
321021022100100202112002011
4131320123323120121210
5232120443001400011
64211203044524004
7301233503546614
oct35703373303144
97238310675064
102053462918756
11721961313a67
12291b846b0604
1311b843889542
1471561088a44
15386368a7621
hex1de1bed8664

2053462918756 has 96 divisors (see below), whose sum is σ = 3929683968000. Its totient is φ = 935188789248.

The previous prime is 2053462918751. The next prime is 2053462918763. The reversal of 2053462918756 is 6578192643502.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 2053462918756.

It is not an unprimeable number, because it can be changed into a prime (2053462918751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573110941 + ... + 573114523.

It is an arithmetic number, because the mean of its divisors is an integer number (40934208000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2053462918756 = 4106925837512, but 3⋅2053462918756 = 6160388756268 is not.

Almost surely, 22053462918756 is an apocalyptic number.

It is an amenable number.

2053462918756 is a deficient number, since it is larger than the sum of its proper divisors (1876221049244).

2053462918756 is a wasteful number, since it uses less digits than its factorization.

2053462918756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 2053462918756 in words is "two trillion, fifty-three billion, four hundred sixty-two million, nine hundred eighteen thousand, seven hundred fifty-six".

Divisors: 1 2 4 19 29 38 58 76 116 457 551 569 914 1102 1138 1828 2204 2276 3583 7166 8683 10811 13253 14332 16501 17366 21622 26506 33002 34732 43244 53012 66004 68077 103907 136154 207814 251807 260033 272308 313519 415628 503614 520066 627038 1007228 1040132 1254076 1637431 1974233 2038727 3274862 3948466 4077454 4940627 6549724 7540957 7896932 8154908 9881254 15081914 19762508 30163828 31111189 38735813 47485499 59123083 62222378 77471626 94970998 118246166 124444756 143278183 154943252 189941996 236492332 286556366 573112732 902224481 931698239 1123338577 1804448962 1863396478 2246677154 3608897924 3726792956 4493354308 17702266541 27019248931 35404533082 54038497862 70809066164 108076995724 513365729689 1026731459378 2053462918756