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2478214353468 = 2237230111399751
BaseRepresentation
bin100100000100000001000…
…101100001001000111100
322202220201000112001102010
4210010001011201020330
5311100340333302333
65134250450131220
7344021314304100
oct44040105411074
98686630461363
102478214353468
11876006439627
12340364b80b10
1314c9050a1729
1487d365ad900
15446e6224563
hex2410116123c

2478214353468 has 72 divisors (see below), whose sum is σ = 6728820626304. Its totient is φ = 707825580000.

The previous prime is 2478214353457. The next prime is 2478214353481. The reversal of 2478214353468 is 8643534128742.

It is a happy number.

It is a super-2 number, since 2×24782143534682 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1070593 + ... + 2470343.

It is an arithmetic number, because the mean of its divisors is an integer number (93455842032).

Almost surely, 22478214353468 is an apocalyptic number.

2478214353468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2478214353468 is an abundant number, since it is smaller than the sum of its proper divisors (4250606272836).

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

2478214353468 is a wasteful number, since it uses less digits than its factorization.

2478214353468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402783 (or 1402774 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 57.

The spelling of 2478214353468 in words is "two trillion, four hundred seventy-eight billion, two hundred fourteen million, three hundred fifty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 3011 6022 9033 12044 18066 21077 36132 42154 63231 84308 126462 147539 252924 295078 442617 590156 885234 1399751 1770468 2799502 4199253 5599004 8398506 9798257 16797012 19596514 29394771 39193028 58789542 68587799 117579084 137175598 205763397 274351196 411526794 823053588 4214650261 8429300522 12643950783 16858601044 25287901566 29502551827 50575803132 59005103654 88507655481 118010207308 177015310962 206517862789 354030621924 413035725578 619553588367 826071451156 1239107176734 2478214353468