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21943584640 = 275251136601
BaseRepresentation
bin10100011011111100…
…001000011110000000
32002122021201121011001
4110123330020132000
5324420024202030
614025235101344
71404532251265
oct243374103600
962567647131
1021943584640
119340643a1a
124304a41854
1320b925b813
1410c249726c
158866d7cca
hex51bf08780

21943584640 has 64 divisors (see below), whose sum is σ = 52668267120. Its totient is φ = 8742400000.

The previous prime is 21943584601. The next prime is 21943584667. The reversal of 21943584640 is 4648534912.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92340 + ... + 228940.

Almost surely, 221943584640 is an apocalyptic number.

21943584640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21943584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26334133560).

21943584640 is an abundant number, since it is smaller than the sum of its proper divisors (30724682480).

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

21943584640 is a wasteful number, since it uses less digits than its factorization.

21943584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136871 (or 136859 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 21943584640 in words is "twenty-one billion, nine hundred forty-three million, five hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 251 320 502 640 1004 1255 2008 2510 4016 5020 8032 10040 16064 20080 32128 40160 80320 136601 160640 273202 546404 683005 1092808 1366010 2185616 2732020 4371232 5464040 8742464 10928080 17484928 21856160 34286851 43712320 68573702 87424640 137147404 171434255 274294808 342868510 548589616 685737020 1097179232 1371474040 2194358464 2742948080 4388716928 5485896160 10971792320 21943584640