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47664046674 = 2331381639151
BaseRepresentation
bin101100011000111111…
…111010001001010010
311120000210022110002000
4230120333322021102
51240103443443144
633521353534430
73305105466126
oct543077721122
9146023273060
1047664046674
111923a125812
1292a2714416
134657b19c1a
1424423c3586
15138e770769
hexb18ffa252

47664046674 has 32 divisors (see below), whose sum is σ = 105996967680. Its totient is φ = 15876486000.

The previous prime is 47664046663. The next prime is 47664046679.

47664046674 is a `hidden beast` number, since 4 + 76 + 6 + 40 + 466 + 74 = 666.

47664046674 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×476640466742 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 47664046674.

It is not an unprimeable number, because it can be changed into a prime (47664046679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245002 + ... + 394149.

It is an arithmetic number, because the mean of its divisors is an integer number (3312405240).

Almost surely, 247664046674 is an apocalyptic number.

47664046674 is an abundant number, since it is smaller than the sum of its proper divisors (58332921006).

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

47664046674 is a wasteful number, since it uses less digits than its factorization.

47664046674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640543 (or 640537 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 47664046674 in words is "forty-seven billion, six hundred sixty-four million, forty-six thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 1381 2762 4143 8286 12429 24858 37287 74574 639151 1278302 1917453 3834906 5752359 11504718 17257077 34514154 882667531 1765335062 2648002593 5296005186 7944007779 15888015558 23832023337 47664046674