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108379955376 = 243272118531637
BaseRepresentation
bin110010011101111110…
…0101110000010110000
3101100202012000011221100
41210323330232002300
53233430232033001
6121442234324400
710554520264200
oct1447374560260
9340665004840
10108379955376
1141a66728660
1219008289700
13a2b2996614
145361d92400
152c44c89586
hex193bf2e0b0

108379955376 has 360 divisors, whose sum is σ = 385596351504. Its totient is φ = 28100459520.

The previous prime is 108379955239. The next prime is 108379955417. The reversal of 108379955376 is 673559973801.

108379955376 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 7 + 9 + 9 + 553 + 76 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66205630 + ... + 66207266.

Almost surely, 2108379955376 is an apocalyptic number.

108379955376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108379955376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192798175752).

108379955376 is an abundant number, since it is smaller than the sum of its proper divisors (277216396128).

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

108379955376 is a wasteful number, since it uses less digits than its factorization.

108379955376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 108379955376 in words is "one hundred eight billion, three hundred seventy-nine million, nine hundred fifty-five thousand, three hundred seventy-six".