Search a number
-
+
150168003316506 = 23272968276019757
BaseRepresentation
bin100010001001001110110110…
…011111101000101100011010
3201200200220212100100112201100
4202021032312133220230122
5124140323032322112011
61251214121154132230
743426165053322020
oct4211166637505432
9650626770315640
10150168003316506
114393699000058a
1214a13694581076
1365a3a21c3a376
142912254c1c710
15125633381ed56
hex8893b67e8b1a

150168003316506 has 96 divisors (see below), whose sum is σ = 384723215360640. Its totient is φ = 41419581291648.

The previous prime is 150168003316483. The next prime is 150168003316561. The reversal of 150168003316506 is 605613300861051.

150168003316506 is a `hidden beast` number, since 1 + 50 + 1 + 6 + 80 + 0 + 3 + 3 + 16 + 506 = 666.

150168003316506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21935980 + ... + 27955736.

It is an arithmetic number, because the mean of its divisors is an integer number (4007533493340).

Almost surely, 2150168003316506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150168003316506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192361607680320).

150168003316506 is an abundant number, since it is smaller than the sum of its proper divisors (234555212044134).

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

150168003316506 is a wasteful number, since it uses less digits than its factorization.

150168003316506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026628 (or 6026625 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 150168003316506 in words is "one hundred fifty trillion, one hundred sixty-eight billion, three million, three hundred sixteen thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 6827 13654 20481 40962 47789 61443 95578 122886 143367 197983 286734 395966 430101 593949 860202 1187898 1385881 1781847 2771762 3563694 4157643 6019757 8315286 12039514 12472929 18059271 24945858 36118542 42138299 54177813 84276598 108355626 126414897 174572953 252829794 349145906 379244691 523718859 758489382 1047437718 1222010671 1571156577 2444021342 3142313154 3666032013 7332064026 10998096039 21996192078 41096881039 82193762078 123290643117 246581286234 287678167273 369871929351 575356334546 739743858702 863034501819 1191809550131 1726069003638 2383619100262 2589103505457 3575428650393 5178207010914 7150857300786 8342666850917 10726285951179 16685333701834 21452571902358 25028000552751 50056001105502 75084001658253 150168003316506