Search a number
-
+
66948696324 = 22321997878211
BaseRepresentation
bin111110010110011101…
…000000100100000100
320101210202210011010100
4332112131000210010
52044102331240244
650431130524100
74560023346366
oct762635004404
9211722704110
1066948696324
11264358804a4
1210b84b96630
13640c23c513
143351696d36
151b1c7d5b69
hexf96740904

66948696324 has 36 divisors (see below), whose sum is σ = 178138345840. Its totient is φ = 21141693360.

The previous prime is 66948696323. The next prime is 66948696389. The reversal of 66948696324 is 42369684966.

66948696324 is a `hidden beast` number, since 6 + 69 + 486 + 96 + 3 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×669486963242 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66948696323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48938422 + ... + 48939789.

Almost surely, 266948696324 is an apocalyptic number.

It is an amenable number.

66948696324 is an abundant number, since it is smaller than the sum of its proper divisors (111189649516).

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

66948696324 is a wasteful number, since it uses less digits than its factorization.

66948696324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97878240 (or 97878235 counting only the distinct ones).

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

The spelling of 66948696324 in words is "sixty-six billion, nine hundred forty-eight million, six hundred ninety-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 97878211 195756422 293634633 391512844 587269266 880903899 1174538532 1761807798 1859686009 3523615596 3719372018 5579058027 7438744036 11158116054 16737174081 22316232108 33474348162 66948696324