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6415420832 = 2517219291259
BaseRepresentation
bin1011111100110001…
…11000110110100000
3121120002202010220222
411332120320312200
5101114321431312
62540332422212
7314660114552
oct57630706640
917502663828
106415420832
1127a2379697
1212b0617968
137b3179402
1444c0694d2
15278345672
hex17e638da0

6415420832 has 144 divisors (see below), whose sum is σ = 14621796000. Its totient is φ = 2759307264.

The previous prime is 6415420811. The next prime is 6415420853. The reversal of 6415420832 is 2380245146.

It is an interprime number because it is at equal distance from previous prime (6415420811) and next prime (6415420853).

It is a junction number, because it is equal to n+sod(n) for n = 6415420792 and 6415420801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5095019 + ... + 5096277.

It is an arithmetic number, because the mean of its divisors is an integer number (101540250).

Almost surely, 26415420832 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 6415420832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7310898000).

6415420832 is an abundant number, since it is smaller than the sum of its proper divisors (8206375168).

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

6415420832 is a wasteful number, since it uses less digits than its factorization.

6415420832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 6415420832 is about 80096.3222126959. The cubic root of 6415420832 is about 1858.1255282355.

Adding to 6415420832 its reverse (2380245146), we get a palindrome (8795665978).

The spelling of 6415420832 in words is "six billion, four hundred fifteen million, four hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 19 29 32 34 38 58 68 76 116 136 152 232 272 289 304 323 464 493 544 551 578 608 646 928 986 1102 1156 1259 1292 1972 2204 2312 2518 2584 3944 4408 4624 5036 5168 5491 7888 8381 8816 9248 9367 10072 10336 10982 15776 16762 17632 18734 20144 21403 21964 23921 33524 36511 37468 40288 42806 43928 47842 67048 73022 74936 85612 87856 95684 134096 146044 149872 159239 171224 175712 191368 268192 292088 299744 318478 342448 363851 382736 406657 584176 620687 636956 684896 693709 727702 765472 813314 1168352 1241374 1273912 1387418 1455404 1626628 2482748 2547824 2774836 2910808 3253256 4965496 5095648 5549672 5821616 6506512 6913169 9930992 10551679 11099344 11643232 11793053 13013024 13826338 19861984 21103358 22198688 23586106 27652676 42206716 47172212 55305352 84413432 94344424 110610704 168826864 188688848 200481901 221221408 337653728 377377696 400963802 801927604 1603855208 3207710416 6415420832