Search a number
-
+
150894394560 = 26345721321937
BaseRepresentation
bin1000110010001000000…
…0011011110011000000
3112102111002102110120000
42030202000123303000
54433012431111220
6153153034320000
713621206122400
oct2144200336300
9472432373500
10150894394560
1158aa2a52008
12252b2289000
13112c9962600
14743648c800
153dd23a0390
hex232201bcc0

150894394560 has 2520 divisors, whose sum is σ = 730936887120. Its totient is φ = 29346250752.

The previous prime is 150894394537. The next prime is 150894394589. The reversal of 150894394560 is 65493498051.

150894394560 is a `hidden beast` number, since 1 + 508 + 9 + 4 + 39 + 45 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a junction number, because it is equal to n+sod(n) for n = 150894394497 and 150894394506.

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 359 ways as a sum of consecutive naturals, for example, 4078226862 + ... + 4078226898.

Almost surely, 2150894394560 is an apocalyptic number.

150894394560 is a gapful number since it is divisible by the number (10) 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 150894394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365468443560).

150894394560 is an abundant number, since it is smaller than the sum of its proper divisors (580042492560).

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

150894394560 is a wasteful number, since it uses less digits than its factorization.

150894394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 150894394560 in words is "one hundred fifty billion, eight hundred ninety-four million, three hundred ninety-four thousand, five hundred sixty".