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5609374960 = 245724493187
BaseRepresentation
bin1010011100101100…
…00100010011110000
3112110221000202212011
411032112010103300
542441444444320
62324340212304
7256001620600
oct51626042360
915427022764
105609374960
112419389482
12110669a094
136b518a6a7
143b2da8c00
1522c6c705a
hex14e5844f0

5609374960 has 120 divisors (see below), whose sum is σ = 15209629200. Its totient is φ = 1918328832.

The previous prime is 5609374933. The next prime is 5609374993. The reversal of 5609374960 is 694739065.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

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, 1758487 + ... + 1761673.

It is an arithmetic number, because the mean of its divisors is an integer number (126746910).

Almost surely, 25609374960 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 5609374960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604814600).

5609374960 is an abundant number, since it is smaller than the sum of its proper divisors (9600254240).

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

5609374960 is a wasteful number, since it uses less digits than its factorization.

5609374960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

The square root of 5609374960 is about 74895.7606276884. The cubic root of 5609374960 is about 1776.7984110697.

The spelling of 5609374960 in words is "five billion, six hundred nine million, three hundred seventy-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 449 490 560 784 898 980 1796 1960 2245 3143 3187 3592 3920 4490 6286 6374 7184 8980 12572 12748 15715 15935 17960 22001 22309 25144 25496 31430 31870 35920 44002 44618 50288 50992 62860 63740 88004 89236 110005 111545 125720 127480 156163 176008 178472 220010 223090 251440 254960 312326 352016 356944 440020 446180 624652 780815 880040 892360 1249304 1430963 1561630 1760080 1784720 2498608 2861926 3123260 5723852 6246520 7154815 10016741 11447704 12493040 14309630 20033482 22895408 28619260 40066964 50083705 57238520 70117187 80133928 100167410 114477040 140234374 160267856 200334820 280468748 350585935 400669640 560937496 701171870 801339280 1121874992 1402343740 2804687480 5609374960