Search a number
-
+
138455158173696 = 212357131528627
BaseRepresentation
bin11111011110110010011010…
…100001010011000000000000
3200011020011222000210121100000
4133132302122201103000000
5121121422130443024241
61210245231021200000
741110024614314040
oct3736623241230000
9604204860717300
10138455158173696
11401305592a8081
1213641654400000
135c3435b0b7380
1426293a0407720
15110180a549eb6
hex7dec9a853000

138455158173696 has 624 divisors, whose sum is σ = 510455799736064. Its totient is φ = 36515622223872.

The previous prime is 138455158173679. The next prime is 138455158173701. The reversal of 138455158173696 is 696371851554831.

138455158173696 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 5 + 5 + 1 + 581 + 7 + 36 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89810535 + ... + 91339161.

Almost surely, 2138455158173696 is an apocalyptic number.

138455158173696 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 138455158173696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255227899868032).

138455158173696 is an abundant number, since it is smaller than the sum of its proper divisors (372000641562368).

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

138455158173696 is an equidigital number, since it uses as much as digits as its factorization.

138455158173696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528686 (or 1528652 counting only the distinct ones).

The product of its digits is 653184000, while the sum is 72.

The spelling of 138455158173696 in words is "one hundred thirty-eight trillion, four hundred fifty-five billion, one hundred fifty-eight million, one hundred seventy-three thousand, six hundred ninety-six".