Search a number
-
+
150200254206 = 2361312113727
BaseRepresentation
bin1000101111100010100…
…0011111111011111110
3112100200201021111000000
42023320220133323332
54430102231113311
6153000120415130
713565050044522
oct2137050377376
9470621244000
10150200254206
11587771450a2
12251399174a6
1311218bc5382
1473ac1dbd82
153d91489056
hex22f8a1fefe

150200254206 has 112 divisors (see below), whose sum is σ = 342079550208. Its totient is φ = 49435822800.

The previous prime is 150200254117. The next prime is 150200254273. The reversal of 150200254206 is 602452002051.

150200254206 is a `hidden beast` number, since 1 + 5 + 0 + 200 + 254 + 206 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 150200254206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 40298715 + ... + 40302441.

Almost surely, 2150200254206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150200254206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171039775104).

150200254206 is an abundant number, since it is smaller than the sum of its proper divisors (191879296002).

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

150200254206 is a wasteful number, since it uses less digits than its factorization.

150200254206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 150200254206 its reverse (602452002051), we get a palindrome (752652256257).

The spelling of 150200254206 in words is "one hundred fifty billion, two hundred million, two hundred fifty-four thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 211 243 262 393 422 486 633 729 786 1179 1266 1458 1899 2358 3537 3727 3798 5697 7074 7454 10611 11181 11394 17091 21222 22362 27641 31833 33543 34182 51273 55282 63666 67086 82923 95499 100629 102546 153819 165846 190998 201258 248769 301887 307638 488237 497538 603774 746307 786397 905661 976474 1464711 1492614 1572794 1811322 2238921 2359191 2716983 2929422 4394133 4477842 4718382 5433966 6716763 7077573 8788266 13182399 13433526 14155146 20150289 21232719 26364798 39547197 40300578 42465438 63698157 79094394 103018007 118641591 127396314 191094471 206036014 237283182 309054021 355924773 382188942 573283413 618108042 711849546 927162063 1146566826 1854324126 2781486189 5562972378 8344458567 16688917134 25033375701 50066751402 75100127103 150200254206