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5005277784 = 23321347113777
BaseRepresentation
bin1001010100101011…
…00111101001011000
3110220211022110022200
410222111213221120
540222322342114
62144400250200
7235015105413
oct45225475130
913824273280
105005277784
112139392311
12b78310960
13619c88c40
14356a76b7a
151e464a409
hex12a567a58

5005277784 has 96 divisors (see below), whose sum is σ = 14909469120. Its totient is φ = 1507304448.

The previous prime is 5005277743. The next prime is 5005277791. The reversal of 5005277784 is 4877725005.

5005277784 is a `hidden beast` number, since 50 + 0 + 527 + 7 + 78 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12897 + ... + 100880.

It is an arithmetic number, because the mean of its divisors is an integer number (155306970).

Almost surely, 25005277784 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 5005277784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7454734560).

5005277784 is an abundant number, since it is smaller than the sum of its proper divisors (9904191336).

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

5005277784 is a wasteful number, since it uses less digits than its factorization.

5005277784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113849 (or 113842 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 5005277784 is about 70747.9878441783. The cubic root of 5005277784 is about 1710.5773940185.

The spelling of 5005277784 in words is "five billion, five million, two hundred seventy-seven thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 47 52 72 78 94 104 117 141 156 188 234 282 312 376 423 468 564 611 846 936 1128 1222 1692 1833 2444 3384 3666 4888 5499 7332 10998 14664 21996 43992 113777 227554 341331 455108 682662 910216 1023993 1365324 1479101 2047986 2730648 2958202 4095972 4437303 5347519 5916404 8191944 8874606 10695038 11832808 13311909 16042557 17749212 21390076 26623818 32085114 35498424 42780152 48127671 53247636 64170228 69517747 96255342 106495272 128340456 139035494 192510684 208553241 278070988 385021368 417106482 556141976 625659723 834212964 1251319446 1668425928 2502638892 5005277784