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4576645152 = 253412713903
BaseRepresentation
bin1000100001100101…
…00001000000100000
3102210221202122220000
410100302201000200
533333110121102
62034045220000
7221261561532
oct42062410040
912727678800
104576645152
111a39440272
12a78861600
1357c230b71
14315b7b852
151bbbcd01c
hex110ca1020

4576645152 has 120 divisors (see below), whose sum is σ = 13566744576. Its totient is φ = 1513427328.

The previous prime is 4576645147. The next prime is 4576645169. The reversal of 4576645152 is 2515466754.

4576645152 is a `hidden beast` number, since 4 + 5 + 76 + 64 + 515 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4576645098 and 4576645107.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 322233 + ... + 336135.

Almost surely, 24576645152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4576645152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783372288).

4576645152 is an abundant number, since it is smaller than the sum of its proper divisors (8990099424).

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

4576645152 is a wasteful number, since it uses less digits than its factorization.

4576645152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14052 (or 14035 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 4576645152 is about 67650.9065127734. The cubic root of 4576645152 is about 1660.2841183983.

The spelling of 4576645152 in words is "four billion, five hundred seventy-six million, six hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 127 144 162 216 254 288 324 381 432 508 648 762 864 1016 1143 1296 1524 2032 2286 2592 3048 3429 4064 4572 6096 6858 9144 10287 12192 13716 13903 18288 20574 27432 27806 36576 41148 41709 54864 55612 82296 83418 109728 111224 125127 164592 166836 222448 250254 329184 333672 375381 444896 500508 667344 750762 1001016 1126143 1334688 1501524 1765681 2002032 2252286 3003048 3531362 4004064 4504572 5297043 6006096 7062724 9009144 10594086 12012192 14125448 15891129 18018288 21188172 28250896 31782258 36036576 42376344 47673387 56501792 63564516 84752688 95346774 127129032 143020161 169505376 190693548 254258064 286040322 381387096 508516128 572080644 762774192 1144161288 1525548384 2288322576 4576645152