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21471830600 = 23521111386371
BaseRepresentation
bin10011111111110100…
…100010001001001000
32001102102001000021012
4103333310202021020
5322433242034400
613510343503052
71360043356133
oct237764421110
961372030235
1021471830600
11911931a150
1241b2a57a88
1320425b620c
14107997521a
1585a09dd35
hex4ffd22248

21471830600 has 96 divisors (see below), whose sum is σ = 54942956640. Its totient is φ = 7738752000.

The previous prime is 21471830599. The next prime is 21471830609. The reversal of 21471830600 is 603817412.

It is a super-2 number, since 2×214718306002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21471830609) 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 23 ways as a sum of consecutive naturals, for example, 205415 + ... + 291785.

It is an arithmetic number, because the mean of its divisors is an integer number (572322465).

Almost surely, 221471830600 is an apocalyptic number.

21471830600 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 21471830600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27471478320).

21471830600 is an abundant number, since it is smaller than the sum of its proper divisors (33471126040).

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

21471830600 is a wasteful number, since it uses less digits than its factorization.

21471830600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86511 (or 86502 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 21471830600 in words is "twenty-one billion, four hundred seventy-one million, eight hundred thirty thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 113 200 220 226 275 440 452 550 565 904 1100 1130 1243 2200 2260 2486 2825 4520 4972 5650 6215 9944 11300 12430 22600 24860 31075 49720 62150 86371 124300 172742 248600 345484 431855 690968 863710 950081 1727420 1900162 2159275 3454840 3800324 4318550 4750405 7600648 8637100 9500810 9759923 17274200 19001620 19519846 23752025 38003240 39039692 47504050 48799615 78079384 95008100 97599230 107359153 190016200 195198460 214718306 243998075 390396920 429436612 487996150 536795765 858873224 975992300 1073591530 1951984600 2147183060 2683978825 4294366120 5367957650 10735915300 21471830600