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470764808192 = 2117192961977
BaseRepresentation
bin1101101100110111100…
…01001110100000000000
31200000010102001002110202
412312123301032200000
530203111242330232
61000133311344332
746003663563110
oct6663361164000
91600112032422
10470764808192
11171717509158
12772a22220a8
1335515366703
1418adc5c3040
15c3a422e162
hex6d9bc4e800

470764808192 has 384 divisors, whose sum is σ = 1191861216000. Its totient is φ = 181335490560.

The previous prime is 470764808183. The next prime is 470764808237. The reversal of 470764808192 is 291808467074.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 31 ways as a sum of consecutive naturals, for example, 481846808 + ... + 481847784.

It is an arithmetic number, because the mean of its divisors is an integer number (3103805250).

Almost surely, 2470764808192 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 470764808192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595930608000).

470764808192 is an abundant number, since it is smaller than the sum of its proper divisors (721096407808).

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

470764808192 is a wasteful number, since it uses less digits than its factorization.

470764808192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 470764808192 in words is "four hundred seventy billion, seven hundred sixty-four million, eight hundred eight thousand, one hundred ninety-two".