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27952824720 = 2435116470103
BaseRepresentation
bin11010000010000111…
…100100000110010000
32200011002011121211110
4122002013210012100
5424221410342340
620501422013320
72006461042542
oct320207440620
980132147743
1027952824720
1110944705a37
125501417240
132836211292
1414d25cd692
15ad9048680
hex6821e4190

27952824720 has 40 divisors (see below), whose sum is σ = 86653757376. Its totient is φ = 7454086528.

The previous prime is 27952824709. The next prime is 27952824793. The reversal of 27952824720 is 2742825972.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27952824720.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58234812 + ... + 58235291.

Almost surely, 227952824720 is an apocalyptic number.

27952824720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27952824720 is an abundant number, since it is smaller than the sum of its proper divisors (58700932656).

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

27952824720 is a wasteful number, since it uses less digits than its factorization.

27952824720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116470119 (or 116470113 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 27952824720 in words is "twenty-seven billion, nine hundred fifty-two million, eight hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 116470103 232940206 349410309 465880412 582350515 698820618 931760824 1164701030 1397641236 1747051545 1863521648 2329402060 2795282472 3494103090 4658804120 5590564944 6988206180 9317608240 13976412360 27952824720