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21607166040 = 2335271664427
BaseRepresentation
bin10100000111111000…
…110011000001011000
32001202211200202120220
4110013320303001120
5323222413303130
613532020320040
71363305611115
oct240770630130
961684622526
1021607166040
119188755719
124230243020
13206464c365
14108d92390c
15866dd3410
hex507e33058

21607166040 has 64 divisors (see below), whose sum is σ = 65060789760. Its totient is φ = 5740640640.

The previous prime is 21607165999. The next prime is 21607166051. The reversal of 21607166040 is 4066170612.

It is a junction number, because it is equal to n+sod(n) for n = 21607165992 and 21607166010.

It is a congruent number.

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, 299694 + ... + 364733.

It is an arithmetic number, because the mean of its divisors is an integer number (1016574840).

Almost surely, 221607166040 is an apocalyptic number.

21607166040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21607166040 is an abundant number, since it is smaller than the sum of its proper divisors (43453623720).

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

21607166040 is a wasteful number, since it uses less digits than its factorization.

21607166040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664712 (or 664708 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 21607166040 in words is "twenty-one billion, six hundred seven million, one hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 542 813 1084 1355 1626 2168 2710 3252 4065 5420 6504 8130 10840 16260 32520 664427 1328854 1993281 2657708 3322135 3986562 5315416 6644270 7973124 9966405 13288540 15946248 19932810 26577080 39865620 79731240 180059717 360119434 540179151 720238868 900298585 1080358302 1440477736 1800597170 2160716604 2700895755 3601194340 4321433208 5401791510 7202388680 10803583020 21607166040