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104378767668 = 2233734759951
BaseRepresentation
bin110000100110101110…
…1011001100100110100
3100222102100001210021000
41201031131121210310
53202231431031133
6115541223123300
710353413613000
oct1411535314464
9328370053230
10104378767668
11402a310305a
12182902a3530
139ac5a4a426
1450a280d700
152aad87c413
hex184d759934

104378767668 has 192 divisors, whose sum is σ = 322301952000. Its totient is φ = 29187496800.

The previous prime is 104378767543. The next prime is 104378767673. The reversal of 104378767668 is 866767873401.

It is a happy number.

104378767668 is a `hidden beast` number, since 1 + 0 + 437 + 8 + 76 + 76 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1711093 + ... + 1771043.

It is an arithmetic number, because the mean of its divisors is an integer number (1678656000).

Almost surely, 2104378767668 is an apocalyptic number.

104378767668 is a gapful number since it is divisible by the number (18) 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 104378767668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161150976000).

104378767668 is an abundant number, since it is smaller than the sum of its proper divisors (217923184332).

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

104378767668 is a wasteful number, since it uses less digits than its factorization.

104378767668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60032 (or 60010 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 104378767668 in words is "one hundred four billion, three hundred seventy-eight million, seven hundred sixty-seven thousand, six hundred sixty-eight".