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20257553695168 = 269719391168281
BaseRepresentation
bin1001001101100100101000…
…10010101100000111000000
32122201121021202011211112201
410212302110102230013000
510123344432221221133
6111030105223402544
74160363031222346
oct446622422540700
978647252154481
1020257553695168
1165001a8a47269
1223320718b3454
13b3c3822b0c2a
14500683d5b996
15251e2addbd7d
hex126c944ac1c0

20257553695168 has 56 divisors (see below), whose sum is σ = 40615337274624. Its totient is φ = 10023779942400.

The previous prime is 20257553695139. The next prime is 20257553695187. The reversal of 20257553695168 is 86159635575202.

It is a super-2 number, since 2×202575536951682 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 120295188 + ... + 120463468.

It is an arithmetic number, because the mean of its divisors is an integer number (725273879904).

Almost surely, 220257553695168 is an apocalyptic number.

It is an amenable number.

20257553695168 is an abundant number, since it is smaller than the sum of its proper divisors (20357783579456).

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

20257553695168 is a wasteful number, since it uses less digits than its factorization.

20257553695168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187781 (or 187771 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 64.

The spelling of 20257553695168 in words is "twenty trillion, two hundred fifty-seven billion, five hundred fifty-three million, six hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 3104 6208 19391 38782 77564 155128 168281 310256 336562 620512 673124 1241024 1346248 1880927 2692496 3761854 5384992 7523708 10769984 15047416 16323257 30094832 32646514 60189664 65293028 120379328 130586056 261172112 522344224 1044688448 3263136871 6526273742 13052547484 26105094968 52210189936 104420379872 208840759744 316524276487 633048552974 1266097105948 2532194211896 5064388423792 10128776847584 20257553695168