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4142793287976 = 233726639260039
BaseRepresentation
bin111100010010010001101…
…110001110100100101000
3112200001021101110022102120
4330102101232032210220
51020333420040203401
612451101205431240
7605210164634130
oct74222156164450
915601241408376
104142793287976
111357a48899372
1256aa9910b520
132408822a7845
14104725925ac0
1572b6c03c836
hex3c491b8e928

4142793287976 has 64 divisors (see below), whose sum is σ = 11840998348800. Its totient is φ = 1183210615488.

The previous prime is 4142793287953. The next prime is 4142793287977. The reversal of 4142793287976 is 6797823972414.

It is a self number, because there is not a number n which added to its sum of digits gives 4142793287976.

It is not an unprimeable number, because it can be changed into a prime (4142793287977) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4182636 + ... + 5077403.

It is an arithmetic number, because the mean of its divisors is an integer number (185015599200).

Almost surely, 24142793287976 is an apocalyptic number.

It is an amenable number.

4142793287976 is an abundant number, since it is smaller than the sum of its proper divisors (7698205060824).

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

4142793287976 is a wasteful number, since it uses less digits than its factorization.

4142793287976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9262718 (or 9262714 counting only the distinct ones).

The product of its digits is 256048128, while the sum is 69.

The spelling of 4142793287976 in words is "four trillion, one hundred forty-two billion, seven hundred ninety-three million, two hundred eighty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2663 5326 7989 10652 15978 18641 21304 31956 37282 55923 63912 74564 111846 149128 223692 447384 9260039 18520078 27780117 37040156 55560234 64820273 74080312 111120468 129640546 194460819 222240936 259281092 388921638 518562184 777843276 1555686552 24659483857 49318967714 73978451571 98637935428 147956903142 172616386999 197275870856 295913806284 345232773998 517849160997 591827612568 690465547996 1035698321994 1380931095992 2071396643988 4142793287976