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5752374966 = 23213174333629
BaseRepresentation
bin1010101101101111…
…00100011010110110
3112211220002220222200
411112313210122312
543240101444331
62350445205330
7262356244332
oct52667443266
915756086880
105752374966
11249207a4a8
121146560846
137089a8390
143c7d907c2
1523a0225e6
hex156de46b6

5752374966 has 96 divisors (see below), whose sum is σ = 14542688160. Its totient is φ = 1627057152.

The previous prime is 5752374959. The next prime is 5752374977. The reversal of 5752374966 is 6694732575.

5752374966 is a `hidden beast` number, since 57 + 523 + 7 + 4 + 9 + 66 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154240 + ... + 187868.

It is an arithmetic number, because the mean of its divisors is an integer number (151486335).

Almost surely, 25752374966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5752374966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7271344080).

5752374966 is an abundant number, since it is smaller than the sum of its proper divisors (8790313194).

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

5752374966 is a wasteful number, since it uses less digits than its factorization.

5752374966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33710 (or 33707 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The square root of 5752374966 is about 75844.4128858547. The cubic root of 5752374966 is about 1791.7705571179.

The spelling of 5752374966 in words is "five billion, seven hundred fifty-two million, three hundred seventy-four thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 43 51 78 86 102 117 129 153 221 234 258 306 387 442 559 663 731 774 1118 1326 1462 1677 1989 2193 3354 3978 4386 5031 6579 9503 10062 13158 19006 28509 33629 57018 67258 85527 100887 171054 201774 302661 437177 571693 605322 874354 1143386 1311531 1446047 1715079 2623062 2892094 3430158 3934593 4338141 5145237 7432009 7869186 8676282 10290474 13014423 14864018 18798611 22296027 24582799 26028846 37597222 44592054 49165598 56395833 66888081 73748397 112791666 133776162 147496794 169187499 221245191 319576387 338374998 442490382 639152774 958729161 1917458322 2876187483 5752374966