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66166776400 = 24521321125221
BaseRepresentation
bin111101100111110110…
…001110001001010000
320022210021110111122011
4331213312032021100
52041002143321100
650221355352304
74531450214434
oct754766161120
9208707414564
1066166776400
112607446948a
12109a7152694
136316249bca
1432b98b69c4
151ac3d30bba
hexf67d8e250

66166776400 has 60 divisors (see below), whose sum is σ = 159087288124. Its totient is φ = 26446464000.

The previous prime is 66166776397. The next prime is 66166776419. The reversal of 66166776400 is 467766166.

It can be written as a sum of positive squares in 6 ways, for example, as 2062613056 + 64104163344 = 45416^2 + 253188^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 465790 + ... + 591010.

Almost surely, 266166776400 is an apocalyptic number.

It is an amenable number.

66166776400 is an abundant number, since it is smaller than the sum of its proper divisors (92920511724).

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

66166776400 is a wasteful number, since it uses less digits than its factorization.

66166776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126560 (or 126549 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 66166776400 in words is "sixty-six billion, one hundred sixty-six million, seven hundred seventy-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1321 2642 5284 6605 10568 13210 21136 26420 33025 52840 66050 105680 125221 132100 250442 264200 500884 528400 626105 1001768 1252210 2003536 2504420 3130525 5008840 6261050 10017680 12522100 25044200 50088400 165416941 330833882 661667764 827084705 1323335528 1654169410 2646671056 3308338820 4135423525 6616677640 8270847050 13233355280 16541694100 33083388200 66166776400