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115131287554380 = 223252116194897199
BaseRepresentation
bin11010001011011000010111…
…011111110100100101001100
3120002122102222101100200201100
4122023120113133310211030
5110042302334103220010
61044510330000143100
733151650430213146
oct3213302737644514
9502572871320640
10115131287554380
11337589a53a3509
1210ab526b307a90
134c31aabc08436
142060553b93c96
15d49c67d2a2c0
hex68b6177f494c

115131287554380 has 144 divisors (see below), whose sum is σ = 351453630528000. Its totient is φ = 30506801109120.

The previous prime is 115131287554117. The next prime is 115131287554399. The reversal of 115131287554380 is 83455782131511.

115131287554380 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 3 + 1 + 2 + 8 + 7 + 554 + 3 + 80 = 666.

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, 21061021 + ... + 25958219.

It is an arithmetic number, because the mean of its divisors is an integer number (2440650212000).

Almost surely, 2115131287554380 is an apocalyptic number.

115131287554380 is a gapful number since it is divisible by the number (10) 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 115131287554380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175726815264000).

115131287554380 is an abundant number, since it is smaller than the sum of its proper divisors (236322342973620).

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

115131287554380 is a wasteful number, since it uses less digits than its factorization.

115131287554380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898044 (or 4898039 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 115131287554380 in words is "one hundred fifteen trillion, one hundred thirty-one billion, two hundred eighty-seven million, five hundred fifty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 619 633 844 1055 1238 1266 1857 1899 2110 2476 2532 3095 3165 3714 3798 4220 5571 6190 6330 7428 7596 9285 9495 11142 12380 12660 18570 18990 22284 27855 37140 37980 55710 111420 130609 261218 391827 522436 653045 783654 1175481 1306090 1567308 1959135 2350962 2612180 3918270 4701924 4897199 5877405 7836540 9794398 11754810 14691597 19588796 23509620 24485995 29383194 44074791 48971990 58766388 73457985 88149582 97943980 146915970 176299164 220373955 293831940 440747910 881495820 1033308989 2066617978 3031366181 3099926967 4133235956 5166544945 6062732362 6199853934 9094098543 9299780901 10333089890 12125464724 12399707868 15156830905 15499634835 18188197086 18599561802 20666179780 27282295629 30313661810 30999269670 36376394172 37199123604 45470492715 46498904505 54564591258 60627323620 61998539340 90940985430 92997809010 109129182516 136411478145 181881970860 185995618020 272822956290 545645912580 639618264191 1279236528382 1918854792573 2558473056764 3198091320955 3837709585146 5756564377719 6396182641910 7675419170292 9594273962865 11513128755438 12792365283820 19188547925730 23026257510876 28782821888595 38377095851460 57565643777190 115131287554380