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5724016624 = 2423373591171
BaseRepresentation
bin1010101010010110…
…11000111111110000
3112202220202011122201
411111023120333300
543210322012444
62343553312544
7261563224054
oct52513307760
915686664581
105724016624
112478070457
121138b65754
13702b596b1
143c42cbc64
152377bedd4
hex1552d8ff0

5724016624 has 80 divisors (see below), whose sum is σ = 11928522240. Its totient is φ = 2653896960.

The previous prime is 5724016621. The next prime is 5724016687. The reversal of 5724016624 is 4266104275.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5724016621) 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, 4887559 + ... + 4888729.

It is an arithmetic number, because the mean of its divisors is an integer number (149106528).

Almost surely, 25724016624 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 5724016624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964261120).

5724016624 is an abundant number, since it is smaller than the sum of its proper divisors (6204505616).

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

5724016624 is a wasteful number, since it uses less digits than its factorization.

5724016624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 5724016624 is about 75657.2311415109. The cubic root of 5724016624 is about 1788.8213190555.

The spelling of 5724016624 in words is "five billion, seven hundred twenty-four million, sixteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 359 368 592 718 851 1171 1436 1702 2342 2872 3404 4684 5744 6808 8257 9368 13283 13616 16514 18736 26566 26933 33028 43327 53132 53866 66056 86654 106264 107732 132112 173308 212528 215464 305509 346616 420389 430928 611018 693232 840778 996521 1222036 1681556 1993042 2444072 3363112 3986084 4888144 6726224 7972168 9668947 15554393 15944336 19337894 31108786 38675788 62217572 77351576 124435144 154703152 248870288 357751039 715502078 1431004156 2862008312 5724016624