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103094179680 = 2535214779541
BaseRepresentation
bin110000000000011100…
…1000101011101100000
3100212002210212221211010
41200000321011131200
53142114102222210
6115205534020520
710306525032342
oct1400071053540
9325083787733
10103094179680
113a7a3a82098
1217b92047740
13994c87a4ab
144dbdd81292
152a35bd3920
hex1800e45760

103094179680 has 48 divisors (see below), whose sum is σ = 324746667504. Its totient is φ = 27491781120.

The previous prime is 103094179679. The next prime is 103094179691. The reversal of 103094179680 is 86971490301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107389291 + ... + 107390250.

It is an arithmetic number, because the mean of its divisors is an integer number (6765555573).

Almost surely, 2103094179680 is an apocalyptic number.

103094179680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103094179680 is an abundant number, since it is smaller than the sum of its proper divisors (221652487824).

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

103094179680 is a wasteful number, since it uses less digits than its factorization.

103094179680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214779559 (or 214779551 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 103094179680 in words is "one hundred three billion, ninety-four million, one hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 214779541 429559082 644338623 859118164 1073897705 1288677246 1718236328 2147795410 2577354492 3221693115 3436472656 4295590820 5154708984 6443386230 6872945312 8591181640 10309417968 12886772460 17182363280 20618835936 25773544920 34364726560 51547089840 103094179680