Search a number
-
+
162154840272 = 243172113832459
BaseRepresentation
bin1001011100000100101…
…1101000000011010000
3120111112211221101010220
42113001023220003100
510124043114342042
6202254244553040
714500230254235
oct2270113500320
9514484841126
10162154840272
11628511a8597
12275153b2780
13123a2819039
147bc3b9778c
154340c388ec
hex25c12e80d0

162154840272 has 160 divisors (see below), whose sum is σ = 446988533760. Its totient is φ = 50478274560.

The previous prime is 162154840247. The next prime is 162154840291. The reversal of 162154840272 is 272048451261.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65942179 + ... + 65944637.

It is an arithmetic number, because the mean of its divisors is an integer number (2793678336).

Almost surely, 2162154840272 is an apocalyptic number.

162154840272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162154840272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223494266880).

162154840272 is an abundant number, since it is smaller than the sum of its proper divisors (284833693488).

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

162154840272 is a wasteful number, since it uses less digits than its factorization.

162154840272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 162154840272 in words is "one hundred sixty-two billion, one hundred fifty-four million, eight hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 211 272 383 408 422 633 766 816 844 1149 1266 1532 1688 2298 2459 2532 3064 3376 3587 4596 4918 5064 6128 6511 7174 7377 9192 9836 10128 10761 13022 14348 14754 18384 19533 19672 21522 26044 28696 29508 39066 39344 41803 43044 52088 57392 59016 78132 80813 83606 86088 104176 118032 125409 156264 161626 167212 172176 242439 250818 312528 323252 334424 484878 501636 518849 646504 668848 941797 969756 1003272 1037698 1293008 1373821 1556547 1883594 1939512 2006544 2075396 2747642 2825391 3113094 3767188 3879024 4121463 4150792 5495284 5650782 6226188 7534376 8242926 8301584 8820433 10990568 11301564 12452376 15068752 16010549 16485852 17640866 21981136 22603128 24904752 26461299 32021098 32971704 35281732 45206256 48031647 52922598 64042196 65943408 70563464 96063294 105845196 128084392 141126928 192126588 198719167 211690392 256168784 384253176 397438334 423380784 596157501 768506352 794876668 1192315002 1589753336 2384630004 3179506672 3378225839 4769260008 6756451678 9538520016 10134677517 13512903356 20269355034 27025806712 40538710068 54051613424 81077420136 162154840272