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150255503352 = 233216335336269
BaseRepresentation
bin1000101111101111101…
…1010000011111111000
3112100211120020102120200
42023323323100133320
54430210402101402
6153005412522200
713566320463663
oct2137373203770
9470746212520
10150255503352
11587a5350649
1225154320360
131122749aa86
1473b56a06da
153d9624e21c
hex22fbed07f8

150255503352 has 96 divisors (see below), whose sum is σ = 410609768400. Its totient is φ = 49635514368.

The previous prime is 150255503329. The next prime is 150255503371. The reversal of 150255503352 is 253305552051.

150255503352 is a `hidden beast` number, since 1 + 5 + 0 + 25 + 550 + 33 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4124674 + ... + 4160942.

Almost surely, 2150255503352 is an apocalyptic number.

150255503352 is a gapful number since it is divisible by the number (12) 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 150255503352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205304884200).

150255503352 is an abundant number, since it is smaller than the sum of its proper divisors (260354265048).

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

150255503352 is a wasteful number, since it uses less digits than its factorization.

150255503352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36797 (or 36790 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The spelling of 150255503352 in words is "one hundred fifty billion, two hundred fifty-five million, five hundred three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 353 489 652 706 978 1059 1304 1412 1467 1956 2118 2824 2934 3177 3912 4236 5868 6354 8472 11736 12708 25416 36269 57539 72538 108807 115078 145076 172617 217614 230156 290152 326421 345234 435228 460312 517851 652842 690468 870456 1035702 1305684 1380936 2071404 2611368 4142808 5911847 11823694 12802957 17735541 23647388 25605914 35471082 38408871 47294776 51211828 53206623 70942164 76817742 102423656 106413246 115226613 141884328 153635484 212826492 230453226 307270968 425652984 460906452 921812904 2086881991 4173763982 6260645973 8347527964 12521291946 16695055928 18781937919 25042583892 37563875838 50085167784 75127751676 150255503352