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21883442152 = 23111330116353
BaseRepresentation
bin10100011000010110…
…101101001111101000
32002111002120001011111
4110120112231033220
5324304130122102
614015250040104
71403202121615
oct243026551750
962432501144
1021883442152
11930a6a5a90
1242a8879034
1320a9961a50
1410b84bd50c
158812a7cd7
hex5185ad3e8

21883442152 has 64 divisors (see below), whose sum is σ = 48228384960. Its totient is φ = 9177369600.

The previous prime is 21883442149. The next prime is 21883442153. The reversal of 21883442152 is 25124438812.

It is a happy number.

It is a super-2 number, since 2×218834421522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21883442153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3441408 + ... + 3447760.

It is an arithmetic number, because the mean of its divisors is an integer number (753568515).

Almost surely, 221883442152 is an apocalyptic number.

21883442152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21883442152 is an abundant number, since it is smaller than the sum of its proper divisors (26344942808).

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

21883442152 is a wasteful number, since it uses less digits than its factorization.

21883442152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9394 (or 9390 counting only the distinct ones).

The product of its digits is 122880, while the sum is 40.

The spelling of 21883442152 in words is "twenty-one billion, eight hundred eighty-three million, four hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 3011 6022 6353 12044 12706 24088 25412 33121 39143 50824 66242 69883 78286 82589 132484 139766 156572 165178 264968 279532 313144 330356 430573 559064 660712 861146 908479 1722292 1816958 3444584 3633916 7267832 19128883 38257766 76515532 153031064 210417713 248675479 420835426 497350958 841670852 994701916 1683341704 1989403832 2735430269 5470860538 10941721076 21883442152