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472447076976 = 243371753317547
BaseRepresentation
bin1101110000000000000…
…10100100101001110000
31200011110122112012102000
412320000002210221300
530220032422430401
61001012244254000
746063451615610
oct6700002445160
91604418465360
10472447076976
11172400070636
12776916a1300
1335722a45424
1418c1bbb0a40
15c451c7e186
hex6e000a4a70

472447076976 has 640 divisors, whose sum is σ = 1680295311360. Its totient is φ = 124027158528.

The previous prime is 472447076963. The next prime is 472447076987. The reversal of 472447076976 is 679670744274.

472447076976 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 470 + 76 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 863705535 + ... + 863706081.

It is an arithmetic number, because the mean of its divisors is an integer number (2625461424).

Almost surely, 2472447076976 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 472447076976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840147655680).

472447076976 is an abundant number, since it is smaller than the sum of its proper divisors (1207848234384).

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

472447076976 is a wasteful number, since it uses less digits than its factorization.

472447076976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 63.

The spelling of 472447076976 in words is "four hundred seventy-two billion, four hundred forty-seven million, seventy-six thousand, nine hundred seventy-six".