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479074391104 = 2624123592
BaseRepresentation
bin1101111100010110000…
…11110001010001000000
31200210120111222122021211
412332023003301101000
530322121021003404
61004030030455504
746416624064261
oct6761303612100
91623514878254
10479074391104
111751a1005851
1278a21064594
133623aa8138a
141928a036968
15c6dd9ccb04
hex6f8b0f1440

479074391104 has 63 divisors (see below), whose sum is σ = 957290801061. Its totient is φ = 237878799360.

The previous prime is 479074391101. The next prime is 479074391111. The reversal of 479074391104 is 401193470974.

It is a happy number.

The square root of 479074391104 is 692152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 360297661504 + 118776729600 = 600248^2 + 344640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (479074391101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1334468877 + ... + 1334469235.

Almost surely, 2479074391104 is an apocalyptic number.

479074391104 is the 692152-nd square number.

It is an amenable number.

479074391104 is a deficient number, since it is larger than the sum of its proper divisors (478216409957).

479074391104 is an frugal number, since it uses more digits than its factorization.

479074391104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

Multiplying 479074391104 by its sum of digits (49), we get a square (23474645164096 = 48450642).

The spelling of 479074391104 in words is "four hundred seventy-nine billion, seventy-four million, three hundred ninety-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 241 359 482 718 964 1436 1928 2872 3856 5744 7712 11488 15424 22976 58081 86519 116162 128881 173038 232324 257762 346076 464648 515524 692152 929296 1031048 1384304 1858592 2062096 2768608 3717184 4124192 5537216 8248384 20851079 31060321 41702158 62120642 83404316 124241284 166808632 248482568 333617264 496965136 667234528 993930272 1334469056 1987860544 7485537361 14971074722 29942149444 59884298888 119768597776 239537195552 479074391104