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150268863824 = 24312103239397
BaseRepresentation
bin1000101111110010111…
…0001110010101010000
3112100212111101012200222
42023330232032111100
54430222312120244
6153011011132212
713566542160542
oct2137456162520
9470774335628
10150268863824
1158801946562
12251588a4068
131122a198091
1473b737b692
153d974dcbee
hex22fcb8e550

150268863824 has 120 divisors (see below), whose sum is σ = 305800784640. Its totient is φ = 71522922240.

The previous prime is 150268863781. The next prime is 150268863839. The reversal of 150268863824 is 428368862051.

150268863824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 378510794 + ... + 378511190.

It is an arithmetic number, because the mean of its divisors is an integer number (2548339872).

Almost surely, 2150268863824 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 150268863824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152900392320).

150268863824 is an abundant number, since it is smaller than the sum of its proper divisors (155531920816).

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

150268863824 is a wasteful number, since it uses less digits than its factorization.

150268863824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 53.

The spelling of 150268863824 in words is "one hundred fifty billion, two hundred sixty-eight million, eight hundred sixty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 103 124 206 239 248 397 412 478 496 794 824 956 961 1588 1648 1912 1922 3176 3193 3824 3844 6352 6386 7409 7688 12307 12772 14818 15376 24614 24617 25544 29636 40891 49228 49234 51088 59272 81782 94883 98456 98468 98983 118544 163564 189766 196912 196936 197966 229679 327128 379532 381517 393872 395932 459358 654256 759064 763034 763127 791864 918716 1267621 1518128 1526068 1526254 1583728 1837432 2535242 2941373 3052136 3052508 3674864 5070484 5882746 6104272 6105016 9772949 10140968 11765492 12210032 19545898 20281936 23530984 23656937 39091796 39296251 47061968 47313874 78183592 78592502 91182563 94627748 156367184 157185004 182365126 189255496 302961419 314370008 364730252 378510992 605922838 628740016 729460504 1211845676 1458921008 2423691352 4847382704 9391803989 18783607978 37567215956 75134431912 150268863824