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20950656096 = 2533144915679
BaseRepresentation
bin10011100000110000…
…011010010001100000
32000002002100121020210
4103200300122101200
5320401331443341
613342525134120
71341114432006
oct234060322140
960062317223
1020950656096
118981110017
1240883ba340
131c8b629236
14102a66aa76
15829451c16
hex4e0c1a460

20950656096 has 96 divisors (see below), whose sum is σ = 56899584000. Its totient is φ = 6742794240.

The previous prime is 20950656091. The next prime is 20950656149. The reversal of 20950656096 is 69065605902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×209506560962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20950656091) 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, 1328385 + ... + 1344063.

It is an arithmetic number, because the mean of its divisors is an integer number (592704000).

Almost surely, 220950656096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20950656096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28449792000).

20950656096 is an abundant number, since it is smaller than the sum of its proper divisors (35948927904).

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

20950656096 is a wasteful number, since it uses less digits than its factorization.

20950656096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16172 (or 16164 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 20950656096 in words is "twenty billion, nine hundred fifty million, six hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 449 496 744 898 992 1347 1488 1796 2694 2976 3592 5388 7184 10776 13919 14368 15679 21552 27838 31358 41757 43104 47037 55676 62716 83514 94074 111352 125432 167028 188148 222704 250864 334056 376296 445408 486049 501728 668112 752592 972098 1336224 1458147 1505184 1944196 2916294 3888392 5832588 7039871 7776784 11665176 14079742 15553568 21119613 23330352 28159484 42239226 46660704 56318968 84478452 112637936 168956904 218236001 225275872 337913808 436472002 654708003 675827616 872944004 1309416006 1745888008 2618832012 3491776016 5237664024 6983552032 10475328048 20950656096