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13466633220 = 22325372022017
BaseRepresentation
bin11001000101010110…
…01000010000000100
31021202111211211220100
430202223020100010
5210034424230340
610104140404100
7654500331225
oct144253102004
937674754810
1013466633220
115790621947
122739b46630
131367c73531
1491a71724c
1553c3c8830
hex322ac8404

13466633220 has 72 divisors (see below), whose sum is σ = 41952829464. Its totient is φ = 3494043648.

The previous prime is 13466633189. The next prime is 13466633233. The reversal of 13466633220 is 2233666431.

It can be written as a sum of positive squares in 4 ways, for example, as 1048205376 + 12418427844 = 32376^2 + 111438^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1004349 + ... + 1017668.

It is an arithmetic number, because the mean of its divisors is an integer number (582678187).

Almost surely, 213466633220 is an apocalyptic number.

13466633220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13466633220 is an abundant number, since it is smaller than the sum of its proper divisors (28486196244).

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

13466633220 is a wasteful number, since it uses less digits than its factorization.

13466633220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022069 (or 2022064 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 13466633220 in words is "thirteen billion, four hundred sixty-six million, six hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 2022017 4044034 6066051 8088068 10110085 12132102 18198153 20220170 24264204 30330255 36396306 40440340 60660510 72792612 74814629 90990765 121321020 149629258 181981530 224443887 299258516 363963060 374073145 448887774 673331661 748146290 897775548 1122219435 1346663322 1496292580 2244438870 2693326644 3366658305 4488877740 6733316610 13466633220