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46442264420420 = 225114323059212903
BaseRepresentation
bin10101000111101001011101…
…01011000110000001000100
320002102211121020222221112222
422203310232223012001010
522041402224142423140
6242435140504431512
712532225415103431
oct1243645653060104
9202384536887488
1046442264420420
11138860655774a0
1252609a4478598
131cbb6434b378b
14b67b63684b88
1555810ac795b5
hex2a3d2eac6044

46442264420420 has 96 divisors (see below), whose sum is σ = 108874540938240. Its totient is φ = 16494556901760.

The previous prime is 46442264420417. The next prime is 46442264420423. The reversal of 46442264420420 is 2402446224464.

It is an interprime number because it is at equal distance from previous prime (46442264420417) and next prime (46442264420423).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (46442264420423) 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, 218031689 + ... + 218244591.

It is an arithmetic number, because the mean of its divisors is an integer number (1134109801440).

Almost surely, 246442264420420 is an apocalyptic number.

It is an amenable number.

46442264420420 is an abundant number, since it is smaller than the sum of its proper divisors (62432276517820).

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

46442264420420 is a wasteful number, since it uses less digits than its factorization.

46442264420420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236025 (or 236023 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 44.

The spelling of 46442264420420 in words is "forty-six trillion, four hundred forty-two billion, two hundred sixty-four million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 23059 46118 92236 115295 212903 230590 253649 425806 461180 507298 851612 991537 1014596 1064515 1268245 1983074 2129030 2341933 2536490 3966148 4258060 4683866 4957685 5072980 9154829 9367732 9915370 10906907 11709665 18309658 19830740 21813814 23419330 36619316 43627628 45774145 46838660 54534535 91548290 100703119 109069070 183096580 201406238 218138140 402812476 503515595 1007031190 2014062380 4909330277 9818660554 19637321108 24546651385 49093302770 54002633047 98186605540 108005266094 211101201911 216010532188 270013165235 422202403822 540026330470 844404807644 1055506009555 1080052660940 2111012019110 2322113221021 4222024038220 4644226442042 9288452884084 11610566105105 23221132210210 46442264420420