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63349334136 = 23321127271503
BaseRepresentation
bin111010111111111010…
…100010000001111000
320001111220221121102200
4322333322202001320
52014214412143021
645034032030200
74401566312154
oct727772420170
9201456847380
1063349334136
1124959058400
121033b692360
135c876237ca
1430cd632064
1519ab7ed126
hexebfea2078

63349334136 has 72 divisors (see below), whose sum is σ = 188586456240. Its totient is φ = 19196765280.

The previous prime is 63349334099. The next prime is 63349334183. The reversal of 63349334136 is 63143394336.

63349334136 is a `hidden beast` number, since 633 + 4 + 9 + 3 + 3 + 4 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 63349334091 and 63349334100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3627040 + ... + 3644463.

Almost surely, 263349334136 is an apocalyptic number.

63349334136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

63349334136 is an abundant number, since it is smaller than the sum of its proper divisors (125237122104).

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

63349334136 is a wasteful number, since it uses less digits than its factorization.

63349334136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7271537 (or 7271519 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 45.

The spelling of 63349334136 in words is "sixty-three billion, three hundred forty-nine million, three hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 7271503 14543006 21814509 29086012 43629018 58172024 65443527 79986533 87258036 130887054 159973066 174516072 239959599 261774108 319946132 479919198 523548216 639892264 719878797 879851863 959838396 1439757594 1759703726 1919676792 2639555589 2879515188 3519407452 5279111178 5759030376 7038814904 7918666767 10558222356 15837333534 21116444712 31674667068 63349334136