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150341013152 = 25112163238207
BaseRepresentation
bin1000110000000100000…
…1011100111010100000
3112101001112010202222022
42030001001130322200
54430344244410102
6153022105401012
713601406345461
oct2140101347240
9471045122868
10150341013152
1158839645400
1225178a99168
131123c109ca5
1473c2b9cd68
153d9d9e05a2
hex230105cea0

150341013152 has 72 divisors (see below), whose sum is σ = 327334952448. Its totient is φ = 67917294720.

The previous prime is 150341013091. The next prime is 150341013191. The reversal of 150341013152 is 251310143051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 512033 + ... + 750239.

It is an arithmetic number, because the mean of its divisors is an integer number (4546318784).

Almost surely, 2150341013152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150341013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163667476224).

150341013152 is an abundant number, since it is smaller than the sum of its proper divisors (176993939296).

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

150341013152 is a wasteful number, since it uses less digits than its factorization.

150341013152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238402 (or 238383 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 150341013152 in words is "one hundred fifty billion, three hundred forty-one million, thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 163 176 242 326 352 484 652 968 1304 1793 1936 2608 3586 3872 5216 7172 14344 19723 28688 39446 57376 78892 157784 238207 315568 476414 631136 952828 1905656 2620277 3811312 5240554 7622624 10481108 20962216 28823047 38827741 41924432 57646094 77655482 83848864 115292188 155310964 230584376 310621928 427105151 461168752 621243856 854210302 922337504 1242487712 1708420604 3416841208 4698156661 6833682416 9396313322 13667364832 18792626644 37585253288 75170506576 150341013152