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10439591680 = 28572940177
BaseRepresentation
bin10011011100011111…
…11000011100000000
3222221112221012112201
421232033320130000
5132340013413210
64443524402544
7516463031230
oct115617703400
928845835481
1010439591680
114477971821
122034246454
13ca4ab17ab
147106b1cc0
1541179253a
hex26e3f8700

10439591680 has 144 divisors (see below), whose sum is σ = 29564579520. Its totient is φ = 3455778816.

The previous prime is 10439591633. The next prime is 10439591707. The reversal of 10439591680 is 8619593401.

It is a self number, because there is not a number n which added to its sum of digits gives 10439591680.

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, 239752 + ... + 279928.

It is an arithmetic number, because the mean of its divisors is an integer number (205309580).

Almost surely, 210439591680 is an apocalyptic number.

10439591680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10439591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14782289760).

10439591680 is an abundant number, since it is smaller than the sum of its proper divisors (19124987840).

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

10439591680 is an equidigital number, since it uses as much as digits as its factorization.

10439591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40234 (or 40220 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 10439591680 in words is "ten billion, four hundred thirty-nine million, five hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 203 224 232 256 280 290 320 406 448 464 560 580 640 812 896 928 1015 1120 1160 1280 1624 1792 1856 2030 2240 2320 3248 3712 4060 4480 4640 6496 7424 8120 8960 9280 12992 16240 18560 25984 32480 37120 40177 51968 64960 80354 129920 160708 200885 259840 281239 321416 401770 562478 642832 803540 1124956 1165133 1285664 1406195 1607080 2249912 2330266 2571328 2812390 3214160 4499824 4660532 5142656 5624780 5825665 6428320 8155931 8999648 9321064 10285312 11249560 11651330 12856640 16311862 17999296 18642128 22499120 23302660 25713280 32623724 35998592 37284256 40779655 44998240 46605320 51426560 65247448 71997184 74568512 81559310 89996480 93210640 130494896 149137024 163118620 179992960 186421280 260989792 298274048 326237240 359985920 372842560 521979584 652474480 745685120 1043959168 1304948960 1491370240 2087918336 2609897920 5219795840 10439591680