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66977942255104 = 29595653392221
BaseRepresentation
bin11110011101010100001000…
…11101001011011000000000
322210011000202221210221202211
433032222010131023120000
532234331311204130404
6354241124125551504
720051665563444526
oct1716520435133000
9283130687727684
1066977942255104
111a383205323211
127618935415594
132b4acba3b745a
141277a6d27a316
157b23b3a68b04
hex3cea8474b600

66977942255104 has 80 divisors (see below), whose sum is σ = 136117711279440. Its totient is φ = 32915453829120.

The previous prime is 66977942255093. The next prime is 66977942255197. The reversal of 66977942255104 is 40155224977966.

It is a self number, because there is not a number n which added to its sum of digits gives 66977942255104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170569714 + ... + 170961934.

It is an arithmetic number, because the mean of its divisors is an integer number (1701471390993).

Almost surely, 266977942255104 is an apocalyptic number.

66977942255104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66977942255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68058855639720).

66977942255104 is an abundant number, since it is smaller than the sum of its proper divisors (69139769024336).

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

66977942255104 is an equidigital number, since it uses as much as digits as its factorization.

66977942255104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397951 (or 397935 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 67.

The spelling of 66977942255104 in words is "sixty-six trillion, nine hundred seventy-seven billion, nine hundred forty-two million, two hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1888 3776 5653 7552 11306 15104 22612 30208 45224 90448 180896 333527 361792 392221 667054 723584 784442 1334108 1447168 1568884 2668216 2894336 3137768 5336432 6275536 10672864 12551072 21345728 23141039 25102144 42691456 46282078 50204288 85382912 92564156 100408576 170765824 185128312 200817152 370256624 740513248 1481026496 2217225313 2962052992 4434450626 5924105984 8868901252 11848211968 17737802504 35475605008 70951210016 130816293467 141902420032 261632586934 283804840064 523265173868 567609680128 1046530347736 1135219360256 2093060695472 4186121390944 8372242781888 16744485563776 33488971127552 66977942255104