Search a number
-
+
138852453096 = 23357293311063
BaseRepresentation
bin1000000101010001000…
…0000100101011101000
3111021101212101110100000
42001110100010223220
54233332211444341
6143442105543000
713013615243340
oct2012420045350
9437355343300
10138852453096
1153983654175
1222ab14a4a60
131012ac04666
146a13073d20
15392a0e78b6
hex2054404ae8

138852453096 has 384 divisors, whose sum is σ = 462896179200. Its totient is φ = 38152477440.

The previous prime is 138852453079. The next prime is 138852453101. The reversal of 138852453096 is 690354258831.

138852453096 is a `hidden beast` number, since 1 + 3 + 8 + 85 + 24 + 530 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 130622661 + ... + 130623723.

It is an arithmetic number, because the mean of its divisors is an integer number (1205458800).

Almost surely, 2138852453096 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 138852453096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231448089600).

138852453096 is an abundant number, since it is smaller than the sum of its proper divisors (324043726104).

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

138852453096 is a wasteful number, since it uses less digits than its factorization.

138852453096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 138852453096 in words is "one hundred thirty-eight billion, eight hundred fifty-two million, four hundred fifty-three thousand, ninety-six".