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21214637544 = 23341127716883
BaseRepresentation
bin10011110000011111…
…011010110111101000
32000202111002020201110
4103300133122313220
5321421421400134
613425035150320
71350501305142
oct236037326750
960674066643
1021214637544
118aa7123201
1241408a53a0
132001225789
141053745c92
158426e87e9
hex4f07dade8

21214637544 has 64 divisors (see below), whose sum is σ = 54375935040. Its totient is φ = 6893258240.

The previous prime is 21214637539. The next prime is 21214637551. The reversal of 21214637544 is 44573641212.

It is a super-2 number, since 2×212146375442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248127 + ... + 1265009.

It is an arithmetic number, because the mean of its divisors is an integer number (849623985).

Almost surely, 221214637544 is an apocalyptic number.

21214637544 is a gapful number since it is divisible by the number (24) 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 21214637544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27187967520).

21214637544 is an abundant number, since it is smaller than the sum of its proper divisors (33161297496).

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

21214637544 is a wasteful number, since it uses less digits than its factorization.

21214637544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18210 (or 18206 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The spelling of 21214637544 in words is "twenty-one billion, two hundred fourteen million, six hundred thirty-seven thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1277 2554 3831 5108 7662 10216 15324 16883 30648 33766 50649 52357 67532 101298 104714 135064 157071 202596 209428 314142 405192 418856 628284 692203 1256568 1384406 2076609 2768812 4153218 5537624 8306436 16612872 21559591 43119182 64678773 86238364 129357546 172476728 258715092 517430184 883943231 1767886462 2651829693 3535772924 5303659386 7071545848 10607318772 21214637544