Search a number
-
+
5712178464 = 253247479881
BaseRepresentation
bin1010101000111100…
…01110110100100000
3112202002110201202100
411110132032310200
543144304202324
62342451450400
7261360500346
oct52436166440
915662421670
105712178464
112471415253
121134bb6a00
13700573275
143c28c9996
152367324c9
hex15478ed20

5712178464 has 144 divisors (see below), whose sum is σ = 16643128320. Its totient is φ = 1857546240.

The previous prime is 5712178427. The next prime is 5712178471. The reversal of 5712178464 is 4648712175.

5712178464 is a `hidden beast` number, since 5 + 7 + 12 + 178 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6483304 + ... + 6484184.

It is an arithmetic number, because the mean of its divisors is an integer number (115577280).

Almost surely, 25712178464 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 5712178464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321564160).

5712178464 is an abundant number, since it is smaller than the sum of its proper divisors (10930949856).

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

5712178464 is a wasteful number, since it uses less digits than its factorization.

5712178464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1412 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 5712178464 is about 75578.9551661043. The cubic root of 5712178464 is about 1787.5872806844.

The spelling of 5712178464 in words is "five billion, seven hundred twelve million, one hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 479 564 752 846 881 958 1128 1437 1504 1692 1762 1916 2256 2643 2874 3384 3524 3832 4311 4512 5286 5748 6768 7048 7664 7929 8622 10572 11496 13536 14096 15328 15858 17244 21144 22513 22992 28192 31716 34488 41407 42288 45026 45984 63432 67539 68976 82814 84576 90052 124221 126864 135078 137952 165628 180104 202617 248442 253728 270156 331256 360208 372663 405234 421999 496884 540312 662512 720416 745326 810468 843998 993768 1080624 1265997 1325024 1490652 1620936 1687996 1987536 2161248 2531994 2981304 3241872 3375992 3797991 3975072 5063988 5962608 6483744 6751984 7595982 10127976 11925216 13503968 15191964 19833953 20255952 30383928 39667906 40511904 59501859 60767856 79335812 119003718 121535712 158671624 178505577 238007436 317343248 357011154 476014872 634686496 714022308 952029744 1428044616 1904059488 2856089232 5712178464