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66584792148 = 22378945719489
BaseRepresentation
bin111110000000110000…
…110100110001010100
320100212102000220102220
4332000300310301110
52042331201322043
650331051102340
74545014252310
oct760060646124
9210772026386
1066584792148
1126269419946
1210aa31419b0
136381a286c4
14331920ab40
151aea8a2483
hexf80c34c54

66584792148 has 96 divisors (see below), whose sum is σ = 179956627200. Its totient is φ = 18768347136.

The previous prime is 66584792129. The next prime is 66584792159. The reversal of 66584792148 is 84129748566.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 66584792091 and 66584792100.

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, 3406788 + ... + 3426276.

It is an arithmetic number, because the mean of its divisors is an integer number (1874548200).

Almost surely, 266584792148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66584792148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89978313600).

66584792148 is an abundant number, since it is smaller than the sum of its proper divisors (113371835052).

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

66584792148 is a wasteful number, since it uses less digits than its factorization.

66584792148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20049 (or 20047 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 60.

The spelling of 66584792148 in words is "sixty-six billion, five hundred eighty-four million, seven hundred ninety-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 457 534 623 914 1068 1246 1371 1828 1869 2492 2742 3199 3738 5484 6398 7476 9597 12796 19194 19489 38388 38978 40673 58467 77956 81346 116934 122019 136423 162692 233868 244038 272846 284711 409269 488076 545692 569422 818538 854133 1138844 1637076 1708266 1734521 3416532 3469042 5203563 6938084 8906473 10407126 12141647 17812946 20814252 24283294 26719419 35625892 36424941 48566588 53438838 62345311 72849882 106877676 124690622 145699764 187035933 249381244 374071866 748143732 792676097 1585352194 2378028291 3170704388 4756056582 5548732679 9512113164 11097465358 16646198037 22194930716 33292396074 66584792148