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457147510716 = 2231329391910883
BaseRepresentation
bin1101010011100000001…
…11010110111110111100
31121200222101200201001210
412221300013112332330
524442214230320331
6550002145404420
745012353504301
oct6516007267674
91550871621053
10457147510716
11166969940aa6
1274721939710
1334155120b40
14181a9c8b0a8
15bd589e4446
hex6a701d6fbc

457147510716 has 96 divisors (see below), whose sum is σ = 1154010493440. Its totient is φ = 140015298816.

The previous prime is 457147510711. The next prime is 457147510717. The reversal of 457147510716 is 617015741754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457147510711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42000211 + ... + 42011093.

It is an arithmetic number, because the mean of its divisors is an integer number (12020942640).

Almost surely, 2457147510716 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 457147510716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577005246720).

457147510716 is an abundant number, since it is smaller than the sum of its proper divisors (696862982724).

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

457147510716 is a wasteful number, since it uses less digits than its factorization.

457147510716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12115 (or 12113 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 48.

The spelling of 457147510716 in words is "four hundred fifty-seven billion, one hundred forty-seven million, five hundred ten thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 293 586 879 919 1172 1758 1838 2757 3516 3676 3809 5514 7618 10883 11028 11427 11947 15236 21766 22854 23894 32649 35841 43532 45708 47788 65298 71682 130596 141479 143364 269267 282958 424437 538534 565916 807801 848874 1077068 1615602 1697748 3188719 3231204 3500471 6377438 7000942 9566157 10001477 10501413 12754876 14001884 19132314 20002954 21002826 30004431 38264628 40005908 41453347 42005652 60008862 82906694 120017724 124360041 130019201 165813388 248720082 260038402 390057603 497440164 520076804 780115206 1560230412 2930432761 5860865522 8791298283 11721731044 17582596566 35165193132 38095625893 76191251786 114286877679 152382503572 228573755358 457147510716