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5152618464 = 253716994513
BaseRepresentation
bin1001100110001111…
…01011011111100000
3111022002120010201220
410303013223133200
541023032242324
62211142255040
7241454351160
oct46307533740
914262503656
105152618464
112204578574
12bb9727480
13641666586
1436c46c5a0
15202551b79
hex1331eb7e0

5152618464 has 96 divisors (see below), whose sum is σ = 15470380800. Its totient is φ = 1470984192.

The previous prime is 5152618463. The next prime is 5152618517. The reversal of 5152618464 is 4648162515.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5152618463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1139472 + ... + 1143984.

It is an arithmetic number, because the mean of its divisors is an integer number (161149800).

Almost surely, 25152618464 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 5152618464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735190400).

5152618464 is an abundant number, since it is smaller than the sum of its proper divisors (10317762336).

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

5152618464 is a wasteful number, since it uses less digits than its factorization.

5152618464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6224 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 5152618464 is about 71781.7418568260. The cubic root of 5152618464 is about 1727.2001292062.

The spelling of 5152618464 in words is "five billion, one hundred fifty-two million, six hundred eighteen thousand, four hundred sixty-four".

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 1699 3398 4513 5097 6796 9026 10194 11893 13539 13592 18052 20388 23786 27078 27184 31591 35679 36104 40776 47572 54156 54368 63182 71358 72208 81552 94773 95144 108312 126364 142716 144416 163104 189546 190288 216624 252728 285432 379092 380576 433248 505456 570864 758184 1010912 1141728 1516368 3032736 7667587 15335174 23002761 30670348 46005522 53673109 61340696 92011044 107346218 122681392 161019327 184022088 214692436 245362784 322038654 368044176 429384872 644077308 736088352 858769744 1288154616 1717539488 2576309232 5152618464