Search a number
-
+
153913132032 = 2103117164151
BaseRepresentation
bin1000111101010111110…
…0000000010000000000
3112201021110201012212120
42033111330000100000
510010203230211112
6154412352324240
714056053015312
oct2172574002000
9481243635776
10153913132032
115a301a50170
12259b5243680
131168b1a76ba
1476413717b2
15400c3e5e8c
hex23d5f00400

153913132032 has 176 divisors, whose sum is σ = 453838961664. Its totient is φ = 45982720000.

The previous prime is 153913132019. The next prime is 153913132069. The reversal of 153913132032 is 230231319351.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 153913131984 and 153913132002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367157 + ... + 2431307.

It is an arithmetic number, because the mean of its divisors is an integer number (2578630464).

Almost surely, 2153913132032 is an apocalyptic number.

153913132032 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 153913132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226919480832).

153913132032 is an abundant number, since it is smaller than the sum of its proper divisors (299925829632).

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

153913132032 is a wasteful number, since it uses less digits than its factorization.

153913132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64256 (or 64238 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The spelling of 153913132032 in words is "one hundred fifty-three billion, nine hundred thirteen million, one hundred thirty-two thousand, thirty-two".