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472461356064 = 25315233231433
BaseRepresentation
bin1101110000000001110…
…01000010110000100000
31200011111122101122122010
412320000321002300200
530220100101343224
61001013514312520
746064014156605
oct6700071026040
91604448348563
10472461356064
11172408133735
1277696428740
13357259a48a9
1418c1da4a6ac
15c45314ee29
hex6e00e42c20

472461356064 has 48 divisors (see below), whose sum is σ = 1241025764832. Its totient is φ = 157383664128.

The previous prime is 472461356057. The next prime is 472461356089. The reversal of 472461356064 is 460653164274.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1469509 + ... + 1761924.

It is an arithmetic number, because the mean of its divisors is an integer number (25854703434).

Almost surely, 2472461356064 is an apocalyptic number.

It is an amenable number.

472461356064 is an abundant number, since it is smaller than the sum of its proper divisors (768564408768).

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

472461356064 is a wasteful number, since it uses less digits than its factorization.

472461356064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232969 (or 3232961 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 472461356064 in words is "four hundred seventy-two billion, four hundred sixty-one million, three hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1523 3046 4569 6092 9138 12184 18276 24368 36552 48736 73104 146208 3231433 6462866 9694299 12925732 19388598 25851464 38777196 51702928 77554392 103405856 155108784 310217568 4921472459 9842944918 14764417377 19685889836 29528834754 39371779672 59057669508 78743559344 118115339016 157487118688 236230678032 472461356064