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150368920528 = 24193975032477
BaseRepresentation
bin1000110000001010101…
…1111010001111010000
3112101010110122121200211
42030002223322033100
54430423420424103
6153024543453504
713602165510211
oct2140253721720
9471113577624
10150368920528
1158853376652
12251862b7294
1311244b2b628
1473c6785408
153da11a436d
hex2302afa3d0

150368920528 has 80 divisors (see below), whose sum is σ = 308181525120. Its totient is φ = 70878094848.

The previous prime is 150368920517. The next prime is 150368920543. The reversal of 150368920528 is 825029863051.

It is a happy number.

It is a super-2 number, since 2×1503689205282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60704826 + ... + 60707302.

It is an arithmetic number, because the mean of its divisors is an integer number (3852269064).

Almost surely, 2150368920528 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 150368920528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154090762560).

150368920528 is an abundant number, since it is smaller than the sum of its proper divisors (157812604592).

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

150368920528 is a wasteful number, since it uses less digits than its factorization.

150368920528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The spelling of 150368920528 in words is "one hundred fifty billion, three hundred sixty-eight million, nine hundred twenty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 397 503 794 1006 1588 2012 2477 3176 4024 4954 6352 7543 8048 9557 9908 15086 19114 19816 30172 38228 39632 47063 60344 76456 94126 120688 152912 188252 199691 376504 399382 753008 798764 983369 1245931 1597528 1966738 2491862 3195056 3794129 3933476 4983724 7588258 7866952 9967448 15176516 15733904 18684011 19934896 23672689 30353032 37368022 47345378 60706064 74736044 94690756 149472088 189381512 298944176 378763024 494634607 989269214 1978538428 3957076856 7914153712 9398057533 18796115066 37592230132 75184460264 150368920528