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66486946932 = 22337241306431
BaseRepresentation
bin111101111010111011…
…100100110001110100
320100121120220212001000
4331322323210301310
52042131124300212
650313234003300
74542415503300
oct757273446164
9210546825030
1066486946932
112621916a32a
1210a76416530
13636768a923
14330a21ad00
151ae1ec61dc
hexf7aee4c74

66486946932 has 144 divisors (see below), whose sum is σ = 205407498240. Its totient is φ = 18532886400.

The previous prime is 66486946919. The next prime is 66486946937. The reversal of 66486946932 is 23964968466.

66486946932 is a `hidden beast` number, since 6 + 6 + 486 + 94 + 69 + 3 + 2 = 666.

It is a super-2 number, since 2×664869469322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 66486946932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66486946937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63757 + ... + 370187.

It is an arithmetic number, because the mean of its divisors is an integer number (1426440960).

Almost surely, 266486946932 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 66486946932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102703749120).

66486946932 is an abundant number, since it is smaller than the sum of its proper divisors (138920551308).

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

66486946932 is a wasteful number, since it uses less digits than its factorization.

66486946932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306499 (or 306484 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 66486946932 in words is "sixty-six billion, four hundred eighty-six million, nine hundred forty-six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 49 54 63 82 84 98 108 123 126 147 164 189 196 246 252 287 294 369 378 441 492 574 588 738 756 861 882 1107 1148 1323 1476 1722 1764 2009 2214 2583 2646 3444 4018 4428 5166 5292 6027 7749 8036 10332 12054 15498 18081 24108 30996 36162 54243 72324 108486 216972 306431 612862 919293 1225724 1838586 2145017 2757879 3677172 4290034 5515758 6435051 8273637 8580068 11031516 12563671 12870102 15015119 16547274 19305153 25127342 25740204 30030238 33094548 37691013 38610306 45045357 50254684 57915459 60060476 75382026 77220612 87945697 90090714 113073039 115830918 135136071 150764052 175891394 180181428 226146078 231661836 263837091 270272142 339219117 351782788 405408213 452292156 527674182 540544284 615619879 678438234 791511273 810816426 1055348364 1231239758 1356876468 1583022546 1621632852 1846859637 2374533819 2462479516 3166045092 3693719274 4749067638 5540578911 7387438548 9498135276 11081157822 16621736733 22162315644 33243473466 66486946932