Search a number
-
+
151052250552320 = 2115135947940151
BaseRepresentation
bin100010010110000110010111…
…101111001001100000000000
3201210211110021001112021221002
4202112012113233021200000
5124244320002120133240
61253132240153151132
743550110403652245
oct4226062757114000
9653743231467832
10151052250552320
11441479995704a7
1214b36b310bb4a8
136639220c25720
142942d7a02d5cc
15126e337de0d15
hex896197bc9800

151052250552320 has 384 divisors, whose sum is σ = 397770766848000. Its totient is φ = 54712005427200.

The previous prime is 151052250552271. The next prime is 151052250552353. The reversal of 151052250552320 is 23255052250151.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3762084245 + ... + 3762124395.

It is an arithmetic number, because the mean of its divisors is an integer number (1035861372000).

Almost surely, 2151052250552320 is an apocalyptic number.

151052250552320 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 151052250552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198885383424000).

151052250552320 is an abundant number, since it is smaller than the sum of its proper divisors (246718516295680).

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

151052250552320 is a wasteful number, since it uses less digits than its factorization.

151052250552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40729 (or 40709 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 38.

The spelling of 151052250552320 in words is "one hundred fifty-one trillion, fifty-two billion, two hundred fifty million, five hundred fifty-two thousand, three hundred twenty".