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5042100465 = 3251755711833
BaseRepresentation
bin1001011001000100…
…00101100011110001
3111000101121020112200
410230202011203301
540311234203330
62152153413413
7235643101233
oct45442054361
914011536480
105042100465
112158152786
12b8870a269
136247ac4cc
1435b900253
151e79c0a60
hex12c8858f1

5042100465 has 48 divisors (see below), whose sum is σ = 9271134288. Its totient is φ = 2526179328.

The previous prime is 5042100421. The next prime is 5042100467. The reversal of 5042100465 is 5640012405.

It can be written as a sum of positive squares in 8 ways, for example, as 57881664 + 4984218801 = 7608^2 + 70599^2 .

It is not a de Polignac number, because 5042100465 - 211 = 5042098417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5042100467) 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, 420189 + ... + 432021.

It is an arithmetic number, because the mean of its divisors is an integer number (193148631).

Almost surely, 25042100465 is an apocalyptic number.

It is an amenable number.

5042100465 is a deficient number, since it is larger than the sum of its proper divisors (4229033823).

5042100465 is a wasteful number, since it uses less digits than its factorization.

5042100465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12418 (or 12415 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5042100465 is about 71007.7493306188. The cubic root of 5042100465 is about 1714.7619244130.

The spelling of 5042100465 in words is "five billion, forty-two million, one hundred thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 557 765 1671 2785 5013 8355 9469 11833 25065 28407 35499 47345 59165 85221 106497 142035 177495 201161 426105 532485 603483 1005805 1810449 3017415 6590981 9052245 19772943 32954905 59318829 98864715 112046677 296594145 336140031 560233385 1008420093 1680700155 5042100465