Search a number
-
+
149276302848 = 2932315319717
BaseRepresentation
bin1000101100000110001…
…1111001111000000000
3112021022022200220000100
42023001203321320000
54421204213142343
6152324313122400
713533130432011
oct2130143717000
9467268626010
10149276302848
1158342643832
1224b203b9400
13110cc663baa
147321609008
153d3a2ca9d3
hex22c18f9e00

149276302848 has 240 divisors, whose sum is σ = 453132890496. Its totient is φ = 47242690560.

The previous prime is 149276302843. The next prime is 149276302873. The reversal of 149276302848 is 848203672941.

149276302848 is a `hidden beast` number, since 1 + 492 + 76 + 3 + 0 + 2 + 84 + 8 = 666.

It is a super-2 number, since 2×1492763028482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149276302794 and 149276302803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149276302843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7561086 + ... + 7580802.

Almost surely, 2149276302848 is an apocalyptic number.

149276302848 is a gapful number since it is divisible by the number (18) 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 149276302848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226566445248).

149276302848 is an abundant number, since it is smaller than the sum of its proper divisors (303856587648).

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

149276302848 is a wasteful number, since it uses less digits than its factorization.

149276302848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19825 (or 19806 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 149276302848 in words is "one hundred forty-nine billion, two hundred seventy-six million, three hundred two thousand, eight hundred forty-eight".