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66992732682240 = 211357361348733
BaseRepresentation
bin11110011101101111101100…
…00010001011100000000000
322210012102221201121111112110
433032313312002023200000
532240102104031312430
6354252011520055320
720053031240136411
oct1716676602134000
9283172851544473
1066992732682240
111a389505114012
12761b782764540
132b4c5066a6ba1
141278673709808
157b297c2827b0
hex3cedf608b800

66992732682240 has 384 divisors, whose sum is σ = 217619244198720. Its totient is φ = 17590901538816.

The previous prime is 66992732682193. The next prime is 66992732682263. The reversal of 66992732682240 is 4228623729966.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×669927326822402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1374664914 + ... + 1374713646.

Almost surely, 266992732682240 is an apocalyptic number.

66992732682240 is a gapful number since it is divisible by the number (60) 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 66992732682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108809622099360).

66992732682240 is an abundant number, since it is smaller than the sum of its proper divisors (150626511516480).

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

66992732682240 is a wasteful number, since it uses less digits than its factorization.

66992732682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49449 (or 49429 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 66.

The spelling of 66992732682240 in words is "sixty-six trillion, nine hundred ninety-two billion, seven hundred thirty-two million, six hundred eighty-two thousand, two hundred forty".