Search a number
-
+
56603560002 = 23113739675843
BaseRepresentation
bin110100101101110101…
…011100100001000010
312102002210120202222020
4310231311130201002
51411411002410002
642000414422310
74042455215163
oct645565344102
9172083522866
1056603560002
1122007263460
12ab78501996
135450bac892
142a4d77176a
1517144a02bc
hexd2dd5c842

56603560002 has 64 divisors (see below), whose sum is σ = 126890164224. Its totient is φ = 16681947840.

The previous prime is 56603559997. The next prime is 56603560033. The reversal of 56603560002 is 20006530665.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9684493 + ... + 9690335.

It is an arithmetic number, because the mean of its divisors is an integer number (1982658816).

Almost surely, 256603560002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56603560002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63445082112).

56603560002 is an abundant number, since it is smaller than the sum of its proper divisors (70286604222).

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

56603560002 is a wasteful number, since it uses less digits than its factorization.

56603560002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9863.

The product of its (nonzero) digits is 32400, while the sum is 33.

It can be divided in two parts, 56603 and 560002, that added together give a triangular number (616605 = T1110).

The spelling of 56603560002 in words is "fifty-six billion, six hundred three million, five hundred sixty thousand, two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 3967 5843 7934 11686 11901 17529 23802 35058 43637 64273 87274 128546 130911 146779 192819 216191 261822 293558 385638 432382 440337 648573 880674 1297146 1614569 2378101 3229138 4756202 4843707 7134303 9687414 14268606 23179181 46358362 69537543 139075086 254970991 509941982 764912973 857629697 1529825946 1715259394 2572889091 5145778182 9433926667 18867853334 28301780001 56603560002