Search a number
-
+
103508600664 = 2337616122623
BaseRepresentation
bin110000001100110010…
…1111110011101011000
3100220011200200201112110
41200121211332131120
53143441200210124
6115315020312320
710323016405650
oct1403145763530
9326150621473
10103508600664
113a9969a7777
12180889a26a0
1399b769aa01
14501d01b360
152a5c295029
hex181997e758

103508600664 has 32 divisors (see below), whose sum is σ = 295738859520. Its totient is φ = 29573885856.

The previous prime is 103508600641. The next prime is 103508600737. The reversal of 103508600664 is 466006805301.

It is a super-2 number, since 2×1035086006642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308061144 + ... + 308061479.

It is an arithmetic number, because the mean of its divisors is an integer number (9241839360).

Almost surely, 2103508600664 is an apocalyptic number.

103508600664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103508600664 is an abundant number, since it is smaller than the sum of its proper divisors (192230258856).

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

103508600664 is a wasteful number, since it uses less digits than its factorization.

103508600664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616122639 (or 616122635 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 103508600664 in words is "one hundred three billion, five hundred eight million, six hundred thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 616122623 1232245246 1848367869 2464490492 3696735738 4312858361 4928980984 7393471476 8625716722 12938575083 14786942952 17251433444 25877150166 34502866888 51754300332 103508600664