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20117258250756 = 22313124593520361
BaseRepresentation
bin1001001001011111010100…
…00010000010101000000100
32122020012011022112211020220
410210233222002002220010
510114100121103011011
6110441424005224340
74144265261506152
oct444575202025004
978205138484226
1020117258250756
116456754910397
12230aa391020b0
13b2c084457874
144d79753c43d2
1524d4692ab506
hex124bea082a04

20117258250756 has 48 divisors (see below), whose sum is σ = 47300606071488. Its totient is φ = 6654280422400.

The previous prime is 20117258250707. The next prime is 20117258250757. The reversal of 20117258250756 is 65705285271102.

It is a super-2 number, since 2×201172582507562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20117258250699 and 20117258250708.

It is not an unprimeable number, because it can be changed into a prime (20117258250757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38400016 + ... + 38920376.

It is an arithmetic number, because the mean of its divisors is an integer number (985429293156).

Almost surely, 220117258250756 is an apocalyptic number.

It is an amenable number.

20117258250756 is an abundant number, since it is smaller than the sum of its proper divisors (27183347820732).

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

20117258250756 is a wasteful number, since it uses less digits than its factorization.

20117258250756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545092 (or 545090 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 51.

The spelling of 20117258250756 in words is "twenty trillion, one hundred seventeen billion, two hundred fifty-eight million, two hundred fifty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 131 262 393 524 786 1572 24593 49186 73779 98372 147558 295116 520361 1040722 1561083 2081444 3122166 3221683 6244332 6443366 9665049 12886732 19330098 38660196 68167291 136334582 204501873 272669164 409003746 818007492 12797238073 25594476146 38391714219 51188952292 76783428438 153566856876 1676438187563 3352876375126 5029314562689 6705752750252 10058629125378 20117258250756