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104206770432 = 28335926171
BaseRepresentation
bin110000100001100110…
…1010010000100000000
3100221222100102102102000
41201003031102010000
53201403413123212
6115512200424000
710346224635222
oct1410315220400
9327870372360
10104206770432
1140215006a86
1218242778000
139a9921900b
145087a3a412
152a9d7051dc
hex1843352100

104206770432 has 432 divisors, whose sum is σ = 323095570560. Its totient is φ = 33114009600.

The previous prime is 104206770403. The next prime is 104206770439. The reversal of 104206770432 is 234077602401.

104206770432 is a `hidden beast` number, since 10 + 4 + 206 + 7 + 7 + 0 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (104206770439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1467700957 + ... + 1467701027.

Almost surely, 2104206770432 is an apocalyptic number.

104206770432 is a gapful number since it is divisible by the number (12) 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 104206770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161547785280).

104206770432 is an abundant number, since it is smaller than the sum of its proper divisors (218888800128).

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

104206770432 is an frugal number, since it uses more digits than its factorization.

104206770432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 104206770432 in words is "one hundred four billion, two hundred six million, seven hundred seventy thousand, four hundred thirty-two".