Search a number
-
+
20682963936 = 253280818887
BaseRepresentation
bin10011010000110011…
…001111101111100000
31222101102122102122100
4103100303033233200
5314324314321221
613300203410400
71331354202255
oct232063175740
958342572570
1020682963936
118853aa2a28
124012823a00
131c480309cb
141002ca742c
15810bc5926
hex4d0ccfbe0

20682963936 has 72 divisors (see below), whose sum is σ = 58831076304. Its totient is φ = 6892692480.

The previous prime is 20682963919. The next prime is 20682964013. The reversal of 20682963936 is 63936928602.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×206829639362 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2322885 + ... + 2331771.

It is an arithmetic number, because the mean of its divisors is an integer number (817098282).

Almost surely, 220682963936 is an apocalyptic number.

It is an amenable number.

20682963936 is an abundant number, since it is smaller than the sum of its proper divisors (38148112368).

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

20682963936 is a wasteful number, since it uses less digits than its factorization.

20682963936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16984 (or 16973 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 20682963936 in words is "twenty billion, six hundred eighty-two million, nine hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8081 8887 16162 17774 24243 26661 32324 35548 48486 53322 64648 71096 72729 79983 96972 106644 129296 142192 145458 159966 193944 213288 258592 284384 290916 319932 387888 426576 581832 639864 775776 853152 1163664 1279728 2327328 2559456 71815847 143631694 215447541 287263388 430895082 574526776 646342623 861790164 1149053552 1292685246 1723580328 2298107104 2585370492 3447160656 5170740984 6894321312 10341481968 20682963936