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150393707088 = 24361227353641
BaseRepresentation
bin1000110000010000101…
…0011101101001010000
3112101012012021220110120
42030010022131221100
54431001242111323
6153031231030240
713602616263222
oct2140412355120
9471165256416
10150393707088
1158866366109
122519266b380
1311249cc9631
1473c9b98412
153da344d5e3
hex230429da50

150393707088 has 160 divisors (see below), whose sum is σ = 398369895552. Its totient is φ = 48876748800.

The previous prime is 150393707083. The next prime is 150393707161. The reversal of 150393707088 is 880707393051.

It is a super-2 number, since 2×1503937070882 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 150393707088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150393707083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234623248 + ... + 234623888.

Almost surely, 2150393707088 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 150393707088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199184947776).

150393707088 is an abundant number, since it is smaller than the sum of its proper divisors (247976188464).

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

150393707088 is a wasteful number, since it uses less digits than its factorization.

150393707088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 150393707088 in words is "one hundred fifty billion, three hundred ninety-three million, seven hundred seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 227 244 353 366 454 488 641 681 706 732 908 976 1059 1282 1362 1412 1464 1816 1923 2118 2564 2724 2824 2928 3632 3846 4236 5128 5448 5648 7692 8472 10256 10896 13847 15384 16944 21533 27694 30768 39101 41541 43066 55388 64599 78202 80131 83082 86132 110776 117303 129198 145507 156404 160262 166164 172264 221552 226273 234606 240393 258396 291014 312808 320524 332328 344528 436521 452546 469212 480786 516792 582028 625616 641048 664656 678819 873042 905092 938424 961572 1033584 1164056 1282096 1357638 1746084 1810184 1876848 1923144 2328112 2715276 3492168 3620368 3846288 4887991 5430552 6984336 8875927 9775982 10861104 13802653 14663973 17751854 19551964 26627781 27605306 29327946 35503708 39103928 41407959 51363971 53255562 55210612 58655892 71007416 78207856 82815918 102727942 106511124 110421224 117311784 142014832 154091913 165631836 205455884 213022248 220842448 234623568 308183826 331263672 410911768 426044496 616367652 662527344 821823536 1232735304 2465470608 3133202231 6266404462 9399606693 12532808924 18799213386 25065617848 37598426772 50131235696 75196853544 150393707088