Search a number
-
+
103658489936 = 2431792645429
BaseRepresentation
bin110000010001010000…
…1110000100001010000
3100220120010201212221222
41200202201300201100
53144243033134221
6115341533104212
710326516424631
oct1404241604120
9326503655858
10103658489936
113aa63573801
121810b028068
139a0c75b3a1
145034cb7888
152a6a5019ab
hex1822870850

103658489936 has 40 divisors (see below), whose sum is σ = 209941324800. Its totient is φ = 49522412160.

The previous prime is 103658489929. The next prime is 103658489939. The reversal of 103658489936 is 639984856301.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103658489939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1283531 + ... + 1361898.

It is an arithmetic number, because the mean of its divisors is an integer number (5248533120).

Almost surely, 2103658489936 is an apocalyptic number.

103658489936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103658489936 is an abundant number, since it is smaller than the sum of its proper divisors (106282834864).

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

103658489936 is a wasteful number, since it uses less digits than its factorization.

103658489936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645547 (or 2645541 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 62.

The spelling of 103658489936 in words is "one hundred three billion, six hundred fifty-eight million, four hundred eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 62 79 124 158 248 316 496 632 1264 2449 4898 9796 19592 39184 2645429 5290858 10581716 21163432 42326864 82008299 164016598 208988891 328033196 417977782 656066392 835955564 1312132784 1671911128 3343822256 6478655621 12957311242 25914622484 51829244968 103658489936