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66972449160 = 2334520670509
BaseRepresentation
bin111110010111110111…
…100111100110001000
320101212102110220220000
4332113313213212020
52044124421333120
650433340003000
74560432265551
oct762767474610
9211772426800
1066972449160
1126448224341
1210b90b30460
136414137b56
1433548bb328
151b1e928990
hexf97de7988

66972449160 has 80 divisors (see below), whose sum is σ = 225101853900. Its totient is φ = 17859318912.

The previous prime is 66972449153. The next prime is 66972449227. The reversal of 66972449160 is 6194427966.

It is a happy number.

66972449160 is a `hidden beast` number, since 6 + 6 + 97 + 2 + 4 + 491 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63531218916 + 3441230244 = 252054^2 + 58662^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 66972449097 and 66972449106.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10332015 + ... + 10338494.

Almost surely, 266972449160 is an apocalyptic number.

66972449160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66972449160 is an abundant number, since it is smaller than the sum of its proper divisors (158129404740).

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

66972449160 is a wasteful number, since it uses less digits than its factorization.

66972449160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20670532 (or 20670519 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 66972449160 in words is "sixty-six billion, nine hundred seventy-two million, four hundred forty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 20670509 41341018 62011527 82682036 103352545 124023054 165364072 186034581 206705090 248046108 310057635 372069162 413410180 496092216 558103743 620115270 744138324 826820360 930172905 1116207486 1240230540 1488276648 1674311229 1860345810 2232414972 2480461080 2790518715 3348622458 3720691620 4464829944 5581037430 6697244916 7441383240 8371556145 11162074860 13394489832 16743112290 22324149720 33486224580 66972449160