Search a number
-
+
100486080760 = 23513423145673
BaseRepresentation
bin101110110010101101…
…1111110100011111000
3100121101001021210200211
41131211123332203320
53121243414041020
6114055045240504
710155065410402
oct1354533764370
9317331253624
10100486080760
113968585583a
1217584703134
1396254300b0
144c13831b72
152931c5385a
hex17656fe8f8

100486080760 has 64 divisors (see below), whose sum is σ = 243548383680. Its totient is φ = 37092971520.

The previous prime is 100486080727. The next prime is 100486080803. The reversal of 100486080760 is 67080684001.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2177284 + ... + 2222956.

It is an arithmetic number, because the mean of its divisors is an integer number (3805443495).

Almost surely, 2100486080760 is an apocalyptic number.

100486080760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100486080760 is an abundant number, since it is smaller than the sum of its proper divisors (143062302920).

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

100486080760 is a wasteful number, since it uses less digits than its factorization.

100486080760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49928 (or 49924 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 100486080760 in words is "one hundred billion, four hundred eighty-six million, eighty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4231 8462 16924 21155 33848 42310 45673 55003 84620 91346 110006 169240 182692 220012 228365 275015 365384 440024 456730 550030 593749 913460 1100060 1187498 1826920 2200120 2374996 2968745 4749992 5937490 11874980 23749960 193242463 386484926 772969852 966212315 1545939704 1932424630 2512152019 3864849260 5024304038 7729698520 10048608076 12560760095 20097216152 25121520190 50243040380 100486080760