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480147357105 = 325134717463079
BaseRepresentation
bin1101111110010110000…
…00110011110110110001
31200220100021221221221100
412333023000303312301
530331320210411410
61004324320115013
746455333124113
oct6771300636661
91626307857840
10480147357105
111756a1736009
1279080465a69
133637c1580c0
141934c7393b3
15c752cc38c0
hex6fcb033db1

480147357105 has 48 divisors (see below), whose sum is σ = 915344801280. Its totient is φ = 231350857344.

The previous prime is 480147357103. The next prime is 480147357139. The reversal of 480147357105 is 501753741084.

480147357105 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 4 + 73 + 571 + 0 + 5 = 666.

It is not a de Polignac number, because 480147357105 - 21 = 480147357103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (480147357103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8704045 + ... + 8759034.

It is an arithmetic number, because the mean of its divisors is an integer number (19069683360).

Almost surely, 2480147357105 is an apocalyptic number.

480147357105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

480147357105 is a deficient number, since it is larger than the sum of its proper divisors (435197444175).

480147357105 is a wasteful number, since it uses less digits than its factorization.

480147357105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17463150 (or 17463147 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 480147357105 in words is "four hundred eighty billion, one hundred forty-seven million, three hundred fifty-seven thousand, one hundred five".

Divisors: 1 3 5 9 13 15 39 45 47 65 117 141 195 235 423 585 611 705 1833 2115 3055 5499 9165 27495 17463079 52389237 87315395 157167711 227020027 261946185 681060081 785838555 820764713 1135100135 2043180243 2462294139 3405300405 4103823565 7386882417 10215901215 10669941269 12311470695 32009823807 36934412085 53349706345 96029471421 160049119035 480147357105