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20756164040031 = 375973229484273
BaseRepresentation
bin1001011100000101010111…
…10010001101010101011111
32201111021021202111202022110
410232002223302031111133
510210032110443240111
6112051130005445103
74241404044223230
oct456025362152537
981437252452273
1020756164040031
116682704541242
1223b2825410793
13b773b4562a54
1451a8647a3087
1525edaea205a6
hex12e0abc8d55f

20756164040031 has 32 divisors (see below), whose sum is σ = 32605125649920. Its totient is φ = 11499915838464.

The previous prime is 20756164039987. The next prime is 20756164040057. The reversal of 20756164040031 is 13004046165702.

It is a happy number.

It is not a de Polignac number, because 20756164040031 - 213 = 20756164031839 is a prime.

It is a super-2 number, since 2×207561640400312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20756164040081) 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, 114651690 + ... + 114832583.

It is an arithmetic number, because the mean of its divisors is an integer number (1018910176560).

Almost surely, 220756164040031 is an apocalyptic number.

20756164040031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20756164040031 is a deficient number, since it is larger than the sum of its proper divisors (11848961609889).

20756164040031 is a wasteful number, since it uses less digits than its factorization.

20756164040031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229484415.

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 20756164040031 in words is "twenty trillion, seven hundred fifty-six billion, one hundred sixty-four million, forty thousand, thirty-one".

Divisors: 1 3 7 21 59 73 177 219 413 511 1239 1533 4307 12921 30149 90447 229484273 688452819 1606389911 4819169733 13539572107 16752351929 40618716321 50257055787 94777004749 117266463503 284331014247 351799390509 988388763811 2965166291433 6918721346677 20756164040031