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450050746667664 = 24317718817672859
BaseRepresentation
bin110011001010100011001101…
…0111000101101001010010000
32012000111102122100020012101110
41212111012122320231022100
5432442112412121331124
64233102243033333320
7163540044023046042
oct14625063270551220
92160442570205343
10450050746667664
111204444a477124a
1242586a24567240
13164177ac60c51c
147d1c8027c7a92
153706cbce73029
hex199519ae2d290

450050746667664 has 80 divisors (see below), whose sum is σ = 1231038446264640. Its totient is φ = 141190408458240.

The previous prime is 450050746667653. The next prime is 450050746667699. The reversal of 450050746667664 is 466766647050054.

It is a happy number.

It is a super-2 number, since 2×4500507466676642 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 450050746667595 and 450050746667604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54818467 + ... + 62491325.

It is an arithmetic number, because the mean of its divisors is an integer number (15387980578308).

Almost surely, 2450050746667664 is an apocalyptic number.

It is an amenable number.

450050746667664 is an abundant number, since it is smaller than the sum of its proper divisors (780987699596976).

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

450050746667664 is a wasteful number, since it uses less digits than its factorization.

450050746667664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7744768 (or 7744762 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 66.

The spelling of 450050746667664 in words is "four hundred fifty trillion, fifty billion, seven hundred forty-six million, six hundred sixty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 71881 143762 215643 287524 431286 575048 862572 1150096 1221977 1725144 2443954 3450288 3665931 4887908 7331862 7672859 9775816 14663724 15345718 19551632 23018577 29327448 30691436 46037154 58654896 61382872 92074308 122765744 130438603 184148616 260877206 368297232 391315809 521754412 782631618 1043508824 1565263236 2087017648 3130526472 6261052944 551532777779 1103065555558 1654598333337 2206131111116 3309196666674 4412262222232 6618393333348 8824524444464 9376057222243 13236786666696 18752114444486 26473573333392 28128171666729 37504228888972 56256343333458 75008457777944 112512686666916 150016915555888 225025373333832 450050746667664