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21214204004 = 2272973935353
BaseRepresentation
bin10011110000011101…
…110001000001100100
32000202110021020000102
4103300131301001210
5321421314012004
613425022003232
71350464521160
oct236035610144
960673236012
1021214204004
118aa6957504
124140716518
132001103346
141053671ca0
1584266011e
hex4f0771064

21214204004 has 48 divisors (see below), whose sum is σ = 43952092800. Its totient is φ = 8766164736.

The previous prime is 21214203979. The next prime is 21214204009. The reversal of 21214204004 is 40040241212.

It is not an unprimeable number, because it can be changed into a prime (21214204009) 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, 582392 + ... + 617744.

It is an arithmetic number, because the mean of its divisors is an integer number (915668600).

Almost surely, 221214204004 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 21214204004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976046400).

21214204004 is an abundant number, since it is smaller than the sum of its proper divisors (22737888796).

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

21214204004 is a wasteful number, since it uses less digits than its factorization.

21214204004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36132 (or 36130 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21214204004 its reverse (40040241212), we get a palindrome (61254445216).

The spelling of 21214204004 in words is "twenty-one billion, two hundred fourteen million, two hundred four thousand, four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 739 812 1478 2956 5173 10346 20692 21431 35353 42862 70706 85724 141412 150017 247471 300034 494942 600068 989884 1025237 2050474 4100948 7176659 14353318 26125867 28706636 52251734 104503468 182881069 365762138 731524276 757650143 1515300286 3030600572 5303551001 10607102002 21214204004