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479021538688 = 2771161978517
BaseRepresentation
bin1101111100001111110…
…10001001110110000000
31200210102211112110101221
412332013322021312000
530322014003214223
61004020502004424
746415412616510
oct6760772116600
91623384473357
10479021538688
11175174196a70
1278a07416714
133622cb37864
1419282dd9840
15c6d903cb5d
hex6f87e89d80

479021538688 has 128 divisors (see below), whose sum is σ = 1191714796800. Its totient is φ = 186327889920.

The previous prime is 479021538679. The next prime is 479021538719. The reversal of 479021538688 is 886835120974.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4790215386882 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6061606 + ... + 6140122.

It is an arithmetic number, because the mean of its divisors is an integer number (9310271850).

It is a 1-persistent number, because it is pandigital, but 2⋅479021538688 = 958043077376 is not.

Almost surely, 2479021538688 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 479021538688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595857398400).

479021538688 is an abundant number, since it is smaller than the sum of its proper divisors (712693258112).

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

479021538688 is a wasteful number, since it uses less digits than its factorization.

479021538688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79168 (or 79156 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 479021538688 in words is "four hundred seventy-nine billion, twenty-one million, five hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 619 704 896 1232 1238 1408 2464 2476 4333 4928 4952 6809 8666 9856 9904 13618 17332 19808 27236 34664 39616 47663 54472 69328 78517 79232 95326 108944 138656 157034 190652 217888 277312 314068 381304 435776 549619 554624 628136 762608 863687 871552 1099238 1256272 1525216 1727374 2198476 2512544 3050432 3454748 4396952 5025088 6045809 6100864 6909496 8793904 10050176 12091618 13818992 17587808 24183236 27637984 35175616 48366472 48602023 55275968 70351232 96732944 97204046 110551936 193465888 194408092 340214161 386931776 388816184 534622253 680428322 773863552 777632368 1069244506 1360856644 1555264736 2138489012 2721713288 3110529472 3742355771 4276978024 5443426576 6221058944 7484711542 8553956048 10886853152 14969423084 17107912096 21773706304 29938846168 34215824192 43547412608 59877692336 68431648384 119755384672 239510769344 479021538688