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4317051072 = 263313719603
BaseRepresentation
bin1000000010101000…
…01111100011000000
3102010212021220202110
410001110033203000
532320131113242
61552213215320
7211660220505
oct40124174300
912125256673
104317051072
111915954404
12a05931540
1353a50c5b9
142cd4c54ac
151a400139c
hex10150f8c0

4317051072 has 112 divisors (see below), whose sum is σ = 12109939712. Its totient is φ = 1354890240.

The previous prime is 4317051071. The next prime is 4317051113. The reversal of 4317051072 is 2701507134.

It is not an unprimeable number, because it can be changed into a prime (4317051071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210423 + ... + 230025.

Almost surely, 24317051072 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 4317051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054969856).

4317051072 is an abundant number, since it is smaller than the sum of its proper divisors (7792888640).

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

4317051072 is a wasteful number, since it uses less digits than its factorization.

4317051072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19686 (or 19676 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 4317051072 is about 65704.2698155911. The cubic root of 4317051072 is about 1628.2799012448.

The spelling of 4317051072 in words is "four billion, three hundred seventeen million, fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 148 186 192 222 248 296 372 444 496 592 744 888 992 1147 1184 1488 1776 1984 2294 2368 2976 3441 3552 4588 5952 6882 7104 9176 13764 18352 19603 27528 36704 39206 55056 58809 73408 78412 110112 117618 156824 220224 235236 313648 470472 607693 627296 725311 940944 1215386 1254592 1450622 1823079 1881888 2175933 2430772 2901244 3646158 3763776 4351866 4861544 5802488 7292316 8703732 9723088 11604976 14584632 17407464 19446176 22484641 23209952 29169264 34814928 38892352 44969282 46419904 58338528 67453923 69629856 89938564 116677056 134907846 139259712 179877128 269815692 359754256 539631384 719508512 1079262768 1439017024 2158525536 4317051072