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6439103316 = 2233716171361
BaseRepresentation
bin1011111111100110…
…01110101101010100
3121121202022100012000
411333303032231110
5101141402301231
62542540155300
7315365321652
oct57763165524
917552270160
106439103316
112804784698
1212b8538b30
137b804ba09
14451271dd2
1527a4726e6
hex17fcceb54

6439103316 has 96 divisors (see below), whose sum is σ = 16968994560. Its totient is φ = 2111155200.

The previous prime is 6439103309. The next prime is 6439103347. The reversal of 6439103316 is 6133019346.

6439103316 is a `hidden beast` number, since 643 + 9 + 1 + 0 + 3 + 3 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4730476 + ... + 4731836.

It is an arithmetic number, because the mean of its divisors is an integer number (176760360).

Almost surely, 26439103316 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 6439103316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8484497280).

6439103316 is an abundant number, since it is smaller than the sum of its proper divisors (10529891244).

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

6439103316 is a wasteful number, since it uses less digits than its factorization.

6439103316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 6439103316 is about 80244.0235531594. The cubic root of 6439103316 is about 1860.4091399646.

The spelling of 6439103316 in words is "six billion, four hundred thirty-nine million, one hundred three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 617 639 852 1234 1278 1361 1851 1917 2468 2556 2722 3702 3834 4083 5444 5553 7404 7668 8166 11106 12249 16332 16659 22212 24498 33318 36747 43807 48996 66636 73494 87614 96631 131421 146988 175228 193262 262842 289893 386524 394263 525684 579786 788526 839737 869679 1159572 1182789 1577052 1679474 1739358 2365578 2519211 2609037 3358948 3478716 4731156 5038422 5218074 7557633 10076844 10436148 15115266 22672899 30230532 45345798 59621327 90691596 119242654 178863981 238485308 357727962 536591943 715455924 1073183886 1609775829 2146367772 3219551658 6439103316