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5760232668 = 22323741910321
BaseRepresentation
bin1010101110101011…
…00010110011011100
3112212102220010201200
411113111202303130
543244104421133
62351325435500
7262513112151
oct52725426334
915772803650
105760232668
112496557073
12114910bb90
1370a4c9ac8
143c9038228
1523aa75913
hex157562cdc

5760232668 has 72 divisors (see below), whose sum is σ = 14991259920. Its totient is φ = 1863544320.

The previous prime is 5760232663. The next prime is 5760232703. The reversal of 5760232668 is 8662320675.

It is a happy number.

5760232668 is a `hidden beast` number, since 5 + 7 + 602 + 32 + 6 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760232661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552948 + ... + 563268.

Almost surely, 25760232668 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 5760232668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7495629960).

5760232668 is an abundant number, since it is smaller than the sum of its proper divisors (9231027252).

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

5760232668 is a wasteful number, since it uses less digits than its factorization.

5760232668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10787 (or 10782 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5760232668 is about 75896.1966636010. The cubic root of 5760232668 is about 1792.5860343970.

The spelling of 5760232668 in words is "five billion, seven hundred sixty million, two hundred thirty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 419 444 666 838 1257 1332 1676 2514 3771 5028 7542 10321 15084 15503 20642 30963 31006 41284 46509 61926 62012 92889 93018 123852 139527 185778 186036 279054 371556 381877 558108 763754 1145631 1527508 2291262 3436893 4324499 4582524 6873786 8648998 12973497 13747572 17297996 25946994 38920491 51893988 77840982 155681964 160006463 320012926 480019389 640025852 960038778 1440058167 1920077556 2880116334 5760232668