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21640843392 = 273713276067
BaseRepresentation
bin10100001001111001…
…010001000010000000
32001212012001202020020
4110021321101002000
5323310023442032
613535222213440
71364165063610
oct241171210200
961765052206
1021640843392
1191a5767a43
12423b584280
13206b61109c
1410941aca40
15869d36b2c
hex509e51080

21640843392 has 128 divisors (see below), whose sum is σ = 65755760640. Its totient is φ = 6177420288.

The previous prime is 21640843387. The next prime is 21640843397. The reversal of 21640843392 is 29334804612.

It is an interprime number because it is at equal distance from previous prime (21640843387) and next prime (21640843397).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×216408433922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (21640843397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3563943 + ... + 3570009.

It is an arithmetic number, because the mean of its divisors is an integer number (513716880).

Almost surely, 221640843392 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 21640843392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32877880320).

21640843392 is an abundant number, since it is smaller than the sum of its proper divisors (44114917248).

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

21640843392 is a wasteful number, since it uses less digits than its factorization.

21640843392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7418 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 21640843392 in words is "twenty-one billion, six hundred forty million, eight hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1327 1344 2654 2688 3981 5308 6067 7962 9289 10616 12134 15924 18201 18578 21232 24268 27867 31848 36402 37156 42464 42469 48536 55734 63696 72804 74312 84928 84938 97072 111468 127392 127407 145608 148624 169856 169876 194144 222936 254784 254814 291216 297248 339752 388288 445872 509568 509628 582432 594496 679504 776576 891744 1019256 1164864 1188992 1359008 1783488 2038512 2329728 2718016 3566976 4077024 5436032 8050909 8154048 16101818 16308096 24152727 32203636 48305454 56356363 64407272 96610908 112712726 128814544 169069089 193221816 225425452 257629088 338138178 386443632 450850904 515258176 676276356 772887264 901701808 1030516352 1352552712 1545774528 1803403616 2705105424 3091549056 3606807232 5410210848 7213614464 10820421696 21640843392