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150893213152 = 25114161171401
BaseRepresentation
bin1000110010000111101…
…1111011010111100000
3112102111000012102222011
42030201323323113200
54433012130310102
6153152553122304
713621163102143
oct2144173732740
9472430172864
10150893213152
1158aa2315440
12252b19b9394
13112c963a956
14743626205a
153dd221a2d7
hex2321efb5e0

150893213152 has 96 divisors (see below), whose sum is σ = 337426090848. Its totient is φ = 65817600000.

The previous prime is 150893213147. The next prime is 150893213153. The reversal of 150893213152 is 251312398051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150893213153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794652 + ... + 966052.

It is an arithmetic number, because the mean of its divisors is an integer number (3514855113).

Almost surely, 2150893213152 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 150893213152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168713045424).

150893213152 is an abundant number, since it is smaller than the sum of its proper divisors (186532877696).

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

150893213152 is a wasteful number, since it uses less digits than its factorization.

150893213152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171524 (or 171516 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 150893213152 in words is "one hundred fifty billion, eight hundred ninety-three million, two hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 61 82 88 122 164 176 244 328 352 451 488 656 671 902 976 1312 1342 1804 1952 2501 2684 3608 5002 5368 7216 10004 10736 14432 20008 21472 27511 40016 55022 80032 110044 171401 220088 342802 440176 685604 880352 1371208 1885411 2742416 3770822 5484832 7027441 7541644 10455461 14054882 15083288 20910922 28109764 30166576 41821844 56219528 60333152 77301851 83643688 112439056 115010071 154603702 167287376 224878112 230020142 309207404 334574752 428673901 460040284 618414808 857347802 920080568 1236829616 1714695604 1840161136 2473659232 3429391208 3680322272 4715412911 6858782416 9430825822 13717564832 18861651644 37723303288 75446606576 150893213152