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664416464422032 = 2435737659803121
BaseRepresentation
bin1001011100010010001000001…
…1010110000100010010010000
310020010111121000210021001200000
42113010202003112010102100
51144041244404343001112
610313032413210530000
7256643335241500320
oct22704420326042220
93203447023231600
10664416464422032
11182781492956a73
1262628441736900
132269728585431a
14ba0dcdd9ad280
1551c2ee4ca67dc
hex25c4883584490

664416464422032 has 240 divisors, whose sum is σ = 2263346402308992. Its totient is φ = 184702646200320.

The previous prime is 664416464422003. The next prime is 664416464422049. The reversal of 664416464422032 is 230224464614466.

664416464422032 is a `hidden beast` number, since 6 + 6 + 4 + 4 + 164 + 6 + 442 + 2 + 0 + 32 = 666.

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 664416464422032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328894569 + ... + 330908552.

Almost surely, 2664416464422032 is an apocalyptic number.

It is an amenable number.

664416464422032 is an abundant number, since it is smaller than the sum of its proper divisors (1598929937886960).

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

664416464422032 is a wasteful number, since it uses less digits than its factorization.

664416464422032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659803188 (or 659803170 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 54.

The spelling of 664416464422032 in words is "six hundred sixty-four trillion, four hundred sixteen billion, four hundred sixty-four million, four hundred twenty-two thousand, thirty-two".