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150013955250 = 23253124953381
BaseRepresentation
bin1000101110110110000…
…1110100110010110010
3112100012201201111212200
42023231201310302302
54424212033032000
6152525423404030
713560325403055
oct2135541646262
9470181644780
10150013955250
1158690a6aa15
12250a7453616
13111b94273c3
147391584a9c
153d7ee39500
hex22ed874cb2

150013955250 has 96 divisors (see below), whose sum is σ = 405970110000. Its totient is φ = 39970944000.

The previous prime is 150013955243. The next prime is 150013955269. The reversal of 150013955250 is 52559310051.

150013955250 is a `hidden beast` number, since 1 + 50 + 0 + 1 + 3 + 9 + 552 + 50 = 666.

150013955250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 748405449 + 149265549801 = 27357^2 + 386349^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2783560 + ... + 2836940.

Almost surely, 2150013955250 is an apocalyptic number.

150013955250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150013955250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202985055000).

150013955250 is an abundant number, since it is smaller than the sum of its proper divisors (255956154750).

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

150013955250 is a wasteful number, since it uses less digits than its factorization.

150013955250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54653 (or 54640 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The spelling of 150013955250 in words is "one hundred fifty billion, thirteen million, nine hundred fifty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 1125 1249 2250 2498 3747 6245 7494 11241 12490 18735 22482 31225 37470 53381 56205 62450 93675 106762 112410 156125 160143 187350 266905 281025 312250 320286 468375 480429 533810 562050 800715 936750 960858 1334525 1405125 1601430 2402145 2669050 2810250 4003575 4804290 6672625 8007150 12010725 13345250 20017875 24021450 40035750 60053625 66672869 120107250 133345738 200018607 333364345 400037214 600055821 666728690 1000093035 1200111642 1666821725 2000186070 3000279105 3333643450 5000465175 6000558210 8334108625 10000930350 15001395525 16668217250 25002325875 30002791050 50004651750 75006977625 150013955250