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5260416672 = 253727192879
BaseRepresentation
bin1001110011000101…
…11001011010100000
3111120121101212002010
410321202321122200
541233131313142
62225552552520
7244233542520
oct47142713240
914517355063
105260416672
11225a4059a5
121029852740
1365aaaa6b4
1437c8cd680
1520bc46e9c
hex1398b96a0

5260416672 has 96 divisors (see below), whose sum is σ = 15792537600. Its totient is φ = 1501901568.

The previous prime is 5260416661. The next prime is 5260416701. The reversal of 5260416672 is 2766140625.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5260416672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1825729 + ... + 1828607.

It is an arithmetic number, because the mean of its divisors is an integer number (164505600).

Almost surely, 25260416672 is an apocalyptic number.

It is an amenable number.

5260416672 is an abundant number, since it is smaller than the sum of its proper divisors (10532120928).

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

5260416672 is a wasteful number, since it uses less digits than its factorization.

5260416672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 5260416672 is about 72528.7299764721. The cubic root of 5260416672 is about 1739.1620433406.

The spelling of 5260416672 in words is "five billion, two hundred sixty million, four hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2719 2879 5438 5758 8157 8637 10876 11516 16314 17274 19033 20153 21752 23032 32628 34548 38066 40306 43504 46064 57099 60459 65256 69096 76132 80612 87008 92128 114198 120918 130512 138192 152264 161224 228396 241836 261024 276384 304528 322448 456792 483672 609056 644896 913584 967344 1827168 1934688 7828001 15656002 23484003 31312004 46968006 54796007 62624008 93936012 109592014 125248016 164388021 187872024 219184028 250496032 328776042 375744048 438368056 657552084 751488096 876736112 1315104168 1753472224 2630208336 5260416672