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113912355546 = 2321121913121013
BaseRepresentation
bin110101000010110110…
…1001001101011011010
3101220000202012020020100
41222011231021223122
53331243030334141
6124155225040230
711141566021563
oct1520555115332
9356022166210
10113912355546
1144345611800
121a0b1026076
13a984c128a2
145728a4116a
152e6a8090b6
hex1a85b49ada

113912355546 has 144 divisors (see below), whose sum is σ = 287758991520. Its totient is φ = 32450932800.

The previous prime is 113912355509. The next prime is 113912355547. The reversal of 113912355546 is 645553219311.

113912355546 is a `hidden beast` number, since 1 + 1 + 3 + 91 + 2 + 3 + 5 + 554 + 6 = 666.

It is a super-3 number, since 3×1139123555463 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (113912355547) 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 71 ways as a sum of consecutive naturals, for example, 5410536 + ... + 5431548.

It is an arithmetic number, because the mean of its divisors is an integer number (1998326330).

Almost surely, 2113912355546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113912355546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143879495760).

113912355546 is an abundant number, since it is smaller than the sum of its proper divisors (173846635974).

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

113912355546 is a wasteful number, since it uses less digits than its factorization.

113912355546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21193 (or 21179 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The spelling of 113912355546 in words is "one hundred thirteen billion, nine hundred twelve million, three hundred fifty-five thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 131 171 198 209 242 262 342 363 393 418 627 726 786 1089 1179 1254 1441 1881 2178 2299 2358 2489 2882 3762 4323 4598 4978 6897 7467 8646 12969 13794 14934 15851 20691 21013 22401 25938 27379 31702 41382 42026 44802 47553 54758 63039 82137 95106 126078 142659 164274 189117 231143 246411 285318 301169 378234 399247 462286 492822 602338 693429 798494 903507 1197741 1386858 1807014 2080287 2395482 2542573 2710521 2752703 3593223 4160574 4391717 5085146 5421042 5505406 7186446 7627719 8258109 8783434 13175151 15255438 16516218 22883157 24774327 26350302 30279733 39525453 45766314 48308887 49548654 52301357 60559466 79050906 90839199 96617774 104602714 144926661 156904071 181678398 272517597 289853322 313808142 333077063 434779983 470712213 545035194 575314927 666154126 869559966 941424426 999231189 1150629854 1725944781 1998462378 2997693567 3451889562 5177834343 5995387134 6328464197 10355668686 12656928394 18985392591 37970785182 56956177773 113912355546