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21132229976 = 23111343142859
BaseRepresentation
bin10011101011100101…
…000011110101011000
32000112202000111210022
4103223211003311120
5321234322324401
613412533010012
71345450663634
oct235345036530
960482014708
1021132229976
118a64658180
124119183908
131cba1315c0
141046813dc4
1583a36b71b
hex4eb943d58

21132229976 has 64 divisors (see below), whose sum is σ = 46659110400. Its totient is φ = 8845891200.

The previous prime is 21132229973. The next prime is 21132230047. The reversal of 21132229976 is 67992223112.

It is a super-2 number, since 2×211322299762 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132229973) 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, 471635 + ... + 514493.

It is an arithmetic number, because the mean of its divisors is an integer number (729048600).

Almost surely, 221132229976 is an apocalyptic number.

21132229976 is a gapful number since it is divisible by the number (26) 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 21132229976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23329555200).

21132229976 is an abundant number, since it is smaller than the sum of its proper divisors (25526880424).

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

21132229976 is a wasteful number, since it uses less digits than its factorization.

21132229976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43320 (or 43316 counting only the distinct ones).

The product of its digits is 163296, while the sum is 44.

The spelling of 21132229976 in words is "twenty-one billion, one hundred thirty-two million, two hundred twenty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 431 572 862 1144 1724 3448 4741 5603 9482 11206 18964 22412 37928 42859 44824 61633 85718 123266 171436 246532 342872 471449 493064 557167 942898 1114334 1885796 2228668 3771592 4457336 6128837 12257674 18472229 24515348 36944458 49030696 73888916 147777832 203194519 240138977 406389038 480277954 812778076 960555908 1625556152 1921111816 2641528747 5283057494 10566114988 21132229976