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109538337027296 = 25293113072913271
BaseRepresentation
bin11000111001111111100001…
…101010101111010011100000
3112100211202121001012211200102
4120321333201222233103200
5103324134003234333141
61024545114540041532
732033612051143112
oct3071774152572340
9470752531184612
10109538337027296
11319a1a47658831
121035131b5332a8
134917561822128
141d099804c13b2
15c9e5245c899b
hex639fe1aaf4e0

109538337027296 has 96 divisors (see below), whose sum is σ = 230462655252480. Its totient is φ = 51135579532800.

The previous prime is 109538337027257. The next prime is 109538337027377. The reversal of 109538337027296 is 692720733835901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36143141 + ... + 39056411.

It is an arithmetic number, because the mean of its divisors is an integer number (2400652658880).

Almost surely, 2109538337027296 is an apocalyptic number.

109538337027296 is a gapful number since it is divisible by the number (16) 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 109538337027296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115231327626240).

109538337027296 is an abundant number, since it is smaller than the sum of its proper divisors (120924318225184).

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

109538337027296 is a wasteful number, since it uses less digits than its factorization.

109538337027296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914648 (or 2914640 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 65.

The spelling of 109538337027296 in words is "one hundred nine trillion, five hundred thirty-eight billion, three hundred thirty-seven million, twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 232 248 464 496 899 928 992 1307 1798 2614 3596 5228 7192 10456 14384 20912 28768 37903 40517 41824 75806 81034 151612 162068 303224 324136 606448 648272 1174993 1212896 1296544 2349986 2913271 4699972 5826542 9399944 11653084 18799888 23306168 37599776 46612336 84484859 90311401 93224672 168969718 180622802 337939436 361245604 675878872 722491208 1351757744 1444982416 2619030629 2703515488 2889964832 3807645197 5238061258 7615290394 10476122516 15230580788 20952245032 30461161576 41904490064 60922323152 83808980128 110421710713 118037001107 121844646304 220843421426 236074002214 441686842852 472148004428 883373685704 944296008856 1766747371408 1888592017712 3423073032103 3533494742816 3777184035424 6846146064206 13692292128412 27384584256824 54769168513648 109538337027296