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162561011112372 = 223237013307254071
BaseRepresentation
bin100100111101100100101111…
…010100100101100110110100
3210022120200101100221020122010
4210331210233110211212310
5132301344422321043442
61333423255245204220
746145434253435535
oct4475445724454664
9708520340836563
10162561011112372
11478848128a8284
12162954b5860670
136c9258c461892
142c1ddd00b268c
1513bd8b935eb9c
hex93d92f5259b4

162561011112372 has 96 divisors (see below), whose sum is σ = 396486762706944. Its totient is φ = 51741253872000.

The previous prime is 162561011112329. The next prime is 162561011112377. The reversal of 162561011112372 is 273211110165261.

It is a super-2 number, since 2×1625610111123722 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 162561011112372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162561011112377) 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, 639698097 + ... + 639952167.

It is an arithmetic number, because the mean of its divisors is an integer number (4130070444864).

Almost surely, 2162561011112372 is an apocalyptic number.

162561011112372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

162561011112372 is an abundant number, since it is smaller than the sum of its proper divisors (233925751594572).

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

162561011112372 is a wasteful number, since it uses less digits than its factorization.

162561011112372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258109 (or 258107 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 162561011112372 in words is "one hundred sixty-two trillion, five hundred sixty-one billion, eleven million, one hundred twelve thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 701 1402 2103 2804 3307 4206 6614 8412 9921 13228 16123 19842 32246 39684 48369 64492 76061 96738 152122 193476 228183 254071 304244 456366 508142 762213 912732 1016284 1524426 2318207 3048852 4636414 5843633 6954621 9272828 11687266 13909242 17530899 23374532 27818484 35061798 53318761 70123596 106637522 159956283 178103771 213275044 319912566 356207542 534311313 639825132 712415084 840212797 1068622626 1680425594 2137245252 2520638391 3360851188 4096386733 5041276782 8192773466 10082553564 12289160199 16385546932 19324894331 24578320398 38649788662 49156640796 57974682993 77299577324 115949365986 231898731972 588989170697 1177978341394 1766967512091 2355956682788 3533935024182 7067870048364 13546750926031 27093501852062 40640252778093 54187003704124 81280505556186 162561011112372