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113405024352 = 2533187743451
BaseRepresentation
bin110100110011101110…
…1110101100001100000
3101211201101120010200010
41221213131311201200
53324223141234402
6124033023124520
711123165542104
oct1514735654140
9354641503603
10113405024352
11441051a8324
1219b8b143740
13a903a91909
1456bb4db904
152e3aee3a6c
hex1a67775860

113405024352 has 96 divisors (see below), whose sum is σ = 307648502784. Its totient is φ = 36539712000.

The previous prime is 113405024339. The next prime is 113405024357. The reversal of 113405024352 is 253420504311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113405024357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2588227 + ... + 2631677.

It is an arithmetic number, because the mean of its divisors is an integer number (3204671904).

Almost surely, 2113405024352 is an apocalyptic number.

113405024352 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 113405024352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153824251392).

113405024352 is an abundant number, since it is smaller than the sum of its proper divisors (194243478432).

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

113405024352 is a wasteful number, since it uses less digits than its factorization.

113405024352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44372 (or 44364 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 113405024352 its reverse (253420504311), we get a palindrome (366825528663).

The spelling of 113405024352 in words is "one hundred thirteen billion, four hundred five million, twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 877 992 1488 1754 2631 2976 3508 5262 7016 10524 14032 21048 27187 28064 42096 43451 54374 81561 84192 86902 108748 130353 163122 173804 217496 260706 326244 347608 434992 521412 652488 695216 869984 1042824 1304976 1346981 1390432 2085648 2609952 2693962 4040943 4171296 5387924 8081886 10775848 16163772 21551696 32327544 38106527 43103392 64655088 76213054 114319581 129310176 152426108 228639162 304852216 457278324 609704432 914556648 1181302337 1219408864 1829113296 2362604674 3543907011 3658226592 4725209348 7087814022 9450418696 14175628044 18900837392 28351256088 37801674784 56702512176 113405024352