Search a number
-
+
153939557952 = 26323119145137
BaseRepresentation
bin1000111101011110000…
…0110011111001000000
3112201100022102210102100
42033113200303321000
510010232011323302
6154415134550400
714056523436645
oct2172740637100
9481308383370
10153939557952
115a31595a374
1225a02068400
13116937ca93b
147644a8ddcc
15400e8b5d1c
hex23d7833e40

153939557952 has 168 divisors, whose sum is σ = 457868316672. Its totient is φ = 49396838400.

The previous prime is 153939557903. The next prime is 153939557963. The reversal of 153939557952 is 259755939351.

153939557952 is a `hidden beast` number, since 1 + 5 + 3 + 9 + 3 + 9 + 5 + 579 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 153939557952.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3387928 + ... + 3433064.

Almost surely, 2153939557952 is an apocalyptic number.

153939557952 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 153939557952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228934158336).

153939557952 is an abundant number, since it is smaller than the sum of its proper divisors (303928758720).

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

153939557952 is a wasteful number, since it uses less digits than its factorization.

153939557952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45377 (or 45364 counting only the distinct ones).

The product of its digits is 57408750, while the sum is 63.

The spelling of 153939557952 in words is "one hundred fifty-three billion, nine hundred thirty-nine million, five hundred fifty-seven thousand, nine hundred fifty-two".