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150271509696 = 26372114333769
BaseRepresentation
bin1000101111110011100…
…0010100010011000000
3112100212200100122011020
42023330320110103000
54430224001302241
6153011143545440
713566603520500
oct2137470242300
9470780318136
10150271509696
1158803393430
122515975b280
131122a8b3499
1473b7869a00
153d97861b66
hex22fce144c0

150271509696 has 336 divisors, whose sum is σ = 516301695360. Its totient is φ = 38122721280.

The previous prime is 150271509683. The next prime is 150271509743. The reversal of 150271509696 is 696905172051.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4433100 + ... + 4466868.

Almost surely, 2150271509696 is an apocalyptic number.

150271509696 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 150271509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258150847680).

150271509696 is an abundant number, since it is smaller than the sum of its proper divisors (366030185664).

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

150271509696 is a wasteful number, since it uses less digits than its factorization.

150271509696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33852 (or 33835 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 51.

The spelling of 150271509696 in words is "one hundred fifty billion, two hundred seventy-one million, five hundred nine thousand, six hundred ninety-six".