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2109364656 = 243743831759
BaseRepresentation
bin111110110111010…
…0101100110110000
312110000010211022220
41331232211212300
513304444132111
6545151001040
7103162206120
oct17556454660
95400124286
102109364656
11992754983
124aa509180
13278019489
14160206c80
15c52b6e06
hex7dba59b0

2109364656 has 160 divisors (see below), whose sum is σ = 6452920320. Its totient is φ = 581236992.

The previous prime is 2109364643. The next prime is 2109364657. The reversal of 2109364656 is 6564639012.

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

It is not an unprimeable number, because it can be changed into a prime (2109364657) 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, 1198305 + ... + 1200063.

It is an arithmetic number, because the mean of its divisors is an integer number (40330752).

Almost surely, 22109364656 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 2109364656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226460160).

2109364656 is an abundant number, since it is smaller than the sum of its proper divisors (4343555664).

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

2109364656 is a wasteful number, since it uses less digits than its factorization.

2109364656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 2109364656 is about 45927.8200658381. The cubic root of 2109364656 is about 1282.4798636496.

The spelling of 2109364656 in words is "two billion, one hundred nine million, three hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 83 84 86 112 129 166 168 172 249 258 301 332 336 344 498 516 581 602 664 688 903 996 1032 1162 1204 1328 1743 1759 1806 1992 2064 2324 2408 3486 3518 3569 3612 3984 4648 4816 5277 6972 7036 7138 7224 9296 10554 10707 12313 13944 14072 14276 14448 21108 21414 24626 24983 27888 28144 28552 36939 42216 42828 49252 49966 57104 73878 74949 75637 84432 85656 98504 99932 145997 147756 149898 151274 171312 197008 199864 226911 291994 295512 299796 302548 399728 437991 453822 529459 583988 591024 599592 605096 875982 907644 1021979 1058918 1167976 1199184 1210192 1588377 1751964 1815288 2043958 2117836 2335952 3065937 3176754 3503928 3630576 4087916 4235672 6131874 6277871 6353508 7007856 8175832 8471344 12263748 12555742 12707016 16351664 18833613 24527496 25111484 25414032 37667226 43945097 49054992 50222968 75334452 87890194 100445936 131835291 150668904 175780388 263670582 301337808 351560776 527341164 703121552 1054682328 2109364656