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103656421044 = 22321117137167673
BaseRepresentation
bin110000010001001100…
…1110111011010110100
3100220112222211202222100
41200202121313122310
53144242020433134
6115341420502100
710326463020111
oct1404231673264
9326488752870
10103656421044
113aa62390380
121810a3aa930
139a0c1b57a7
1450348d9908
152a6a243999
hex18226776b4

103656421044 has 288 divisors, whose sum is σ = 307144970496. Its totient is φ = 29128458240.

The previous prime is 103656421013. The next prime is 103656421073. The reversal of 103656421044 is 440124656301.

103656421044 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 5 + 642 + 1 + 0 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154021092 + ... + 154021764.

It is an arithmetic number, because the mean of its divisors is an integer number (1066475592).

Almost surely, 2103656421044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103656421044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153572485248).

103656421044 is an abundant number, since it is smaller than the sum of its proper divisors (203488549452).

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

103656421044 is a wasteful number, since it uses less digits than its factorization.

103656421044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 103656421044 in words is "one hundred three billion, six hundred fifty-six million, four hundred twenty-one thousand, forty-four".