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104479956960 = 2535217666577
BaseRepresentation
bin110000101001101111…
…1011001111111100000
3100222200101110201212120
41201103133121333200
53202433332110320
6115555240024240
710356052660341
oct1412337317740
9328611421776
10104479956960
1140345237075
12182ba162080
139b109b9352
1450b20300c8
152ab76b9440
hex18537d9fe0

104479956960 has 48 divisors (see below), whose sum is σ = 329111865936. Its totient is φ = 27861321728.

The previous prime is 104479956949. The next prime is 104479956961. The reversal of 104479956960 is 69659974401.

104479956960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×1044799569602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 104479956894 and 104479956903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104479956961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108832809 + ... + 108833768.

It is an arithmetic number, because the mean of its divisors is an integer number (6856497207).

Almost surely, 2104479956960 is an apocalyptic number.

104479956960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104479956960 is an abundant number, since it is smaller than the sum of its proper divisors (224631908976).

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

104479956960 is a wasteful number, since it uses less digits than its factorization.

104479956960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217666595 (or 217666587 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 60.

The spelling of 104479956960 in words is "one hundred four billion, four hundred seventy-nine million, nine hundred fifty-six thousand, nine hundred sixty".

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 217666577 435333154 652999731 870666308 1088332885 1305999462 1741332616 2176665770 2611998924 3264998655 3482665232 4353331540 5223997848 6529997310 6965330464 8706663080 10447995696 13059994620 17413326160 20895991392 26119989240 34826652320 52239978480 104479956960