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46224266015112 = 23343671543433261
BaseRepresentation
bin10101000001010011011001…
…11101001011000110001000
320001122222220120112112112120
422200221230331023012020
522024314244044440422
6242151045030211240
712510410255165523
oct1240515475130610
9201588816475476
1046224266015112
1113801668112a69
1252266a51b3b20
131ca3c113a1b43
14b5b3a306dbba
155525ec66445c
hex2a0a6cf4b188

46224266015112 has 128 divisors (see below), whose sum is σ = 120091075906560. Its totient is φ = 14815495537920.

The previous prime is 46224266015089. The next prime is 46224266015113. The reversal of 46224266015112 is 21151066242264.

It is not an unprimeable number, because it can be changed into a prime (46224266015113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106472562 + ... + 106905822.

It is an arithmetic number, because the mean of its divisors is an integer number (938211530520).

Almost surely, 246224266015112 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 46224266015112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60045537953280).

46224266015112 is an abundant number, since it is smaller than the sum of its proper divisors (73866809891448).

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

46224266015112 is a wasteful number, since it uses less digits than its factorization.

46224266015112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434923 (or 434919 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 46224266015112 in words is "forty-six trillion, two hundred twenty-four billion, two hundred sixty-six million, fifteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 67 86 129 134 172 201 258 268 344 402 516 536 804 1032 1543 1608 2881 3086 4629 5762 6172 8643 9258 11524 12344 17286 18516 23048 34572 37032 66349 69144 103381 132698 199047 206762 265396 310143 398094 413524 433261 530792 620286 796188 827048 866522 1240572 1299783 1592376 1733044 2481144 2599566 3466088 4445383 5199132 8890766 10398264 13336149 17781532 18630223 26672298 29028487 35563064 37260446 53344596 55890669 58056974 74520892 87085461 106689192 111781338 116113948 149041784 174170922 223562676 232227896 348341844 447125352 668521723 696683688 1248224941 1337043446 2005565169 2496449882 2674086892 3744674823 4011130338 4992899764 5348173784 7489349646 8022260676 9985799528 14978699292 16044521352 28746434089 29957398584 44790955441 57492868178 86239302267 89581910882 114985736356 134372866323 172478604534 179163821764 229971472712 268745732646 344957209068 358327643528 537491465292 689914418136 1074982930584 1926011083963 3852022167926 5778033251889 7704044335852 11556066503778 15408088671704 23112133007556 46224266015112