Search a number
-
+
151437474496 = 26731137173
BaseRepresentation
bin1000110100001001100…
…0000111101011000000
3112110212221022210011201
42031002120013223000
54440120443140441
6153322554350544
713640522203000
oct2150230075300
9473787283151
10151437474496
1159251563000
122542412b454
131138531c099
14748865a000
153e14dc7c31
hex2342607ac0

151437474496 has 448 divisors, whose sum is σ = 396249753600. Its totient is φ = 57373747200.

The previous prime is 151437474449. The next prime is 151437474509. The reversal of 151437474496 is 694474734151.

It is a tau number, because it is divible by the number of its divisors (448).

Its product of digits (10160640) is a multiple of the sum of its prime factors (210).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2074485916 + ... + 2074485988.

Almost surely, 2151437474496 is an apocalyptic number.

151437474496 is a gapful number since it is divisible by the number (16) 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 151437474496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198124876800).

151437474496 is an abundant number, since it is smaller than the sum of its proper divisors (244812279104).

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

151437474496 is an frugal number, since it uses more digits than its factorization.

151437474496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 164 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 55.

The spelling of 151437474496 in words is "one hundred fifty-one billion, four hundred thirty-seven million, four hundred seventy-four thousand, four hundred ninety-six".