Search a number
-
+
103807632345264 = 24325711262497961
BaseRepresentation
bin10111100110100110011001…
…000011010000100010110000
3111121112220122101022212010200
4113212212121003100202300
5102101241012340022024
61004440322402155200
730602565621104001
oct2746463103204260
9447486571285120
10103807632345264
113009262a221601
12b786746052b00
1345c002cc3a633
141b8c45d9931a8
15c0041c3cb2c9
hex5e69990d08b0

103807632345264 has 60 divisors (see below), whose sum is σ = 291025980208392. Its totient is φ = 34541944185600.

The previous prime is 103807632345247. The next prime is 103807632345269. The reversal of 103807632345264 is 462543236708301.

103807632345264 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 0 + 7 + 6 + 32 + 345 + 264 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 103807632345264.

It is not an unprimeable number, because it can be changed into a prime (103807632345269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 631166757 + ... + 631331204.

Almost surely, 2103807632345264 is an apocalyptic number.

It is an amenable number.

103807632345264 is an abundant number, since it is smaller than the sum of its proper divisors (187218347863128).

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

103807632345264 is a wasteful number, since it uses less digits than its factorization.

103807632345264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262498546 (or 1262498537 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 103807632345264 in words is "one hundred three trillion, eight hundred seven billion, six hundred thirty-two million, three hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 571 1142 1713 2284 3426 4568 5139 6852 9136 10278 13704 20556 27408 41112 82224 1262497961 2524995922 3787493883 5049991844 7574987766 10099983688 11362481649 15149975532 20199967376 22724963298 30299951064 45449926596 60599902128 90899853192 181799706384 720886335731 1441772671462 2162659007193 2883545342924 4325318014386 5767090685848 6487977021579 8650636028772 11534181371696 12975954043158 17301272057544 25951908086316 34602544115088 51903816172632 103807632345264