Search a number
-
+
112406646352 = 24711138384559
BaseRepresentation
bin110100010101111110…
…1010100111001010000
3101202010210221021112011
41220223331110321100
53320202100140402
6123350000312304
711056353505060
oct1505375247120
9352123837464
10112406646352
1143742692140
1219950912694
13a7a4ca1ac0
145624a933a0
152dcd532ed7
hex1a2bf54e50

112406646352 has 160 divisors (see below), whose sum is σ = 295941058560. Its totient is φ = 39938434560.

The previous prime is 112406646277. The next prime is 112406646409. The reversal of 112406646352 is 253646604211.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1287049 + ... + 1371607.

It is an arithmetic number, because the mean of its divisors is an integer number (1849631616).

Almost surely, 2112406646352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112406646352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147970529280).

112406646352 is an abundant number, since it is smaller than the sum of its proper divisors (183534412208).

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

112406646352 is a wasteful number, since it uses less digits than its factorization.

112406646352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84681 (or 84675 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 112406646352 in words is "one hundred twelve billion, four hundred six million, six hundred forty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 83 88 91 104 112 143 154 166 176 182 208 286 308 332 364 572 581 616 664 728 913 1001 1079 1144 1162 1232 1328 1456 1826 2002 2158 2288 2324 3652 4004 4316 4648 6391 7304 7553 8008 8632 9296 11869 12782 14608 15106 16016 17264 23738 25564 30212 47476 51128 60424 83083 84559 94952 102256 120848 166166 169118 189904 332332 338236 591913 664664 676472 930149 1099267 1183826 1329328 1352944 1860298 2198534 2367652 3720596 4397068 4735304 6511043 7018397 7441192 7694869 8794136 9470608 12091937 13022086 14036794 14882384 15389738 17588272 24183874 26044172 28073588 30779476 48367748 49128779 52088344 56147176 61558952 77202367 84643559 91239161 96735496 98257558 104176688 112294352 123117904 154404734 169287118 182478322 193470992 196515116 308809468 338574236 364956644 393030232 540416569 617618936 638674127 677148472 729913288 786060464 1003630771 1080833138 1235237872 1277348254 1354296944 1459826576 2007261542 2161666276 2554696508 4014523084 4323332552 5109393016 7025415397 8029046168 8646665104 10218786032 14050830794 16058092336 28101661588 56203323176 112406646352