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964221625928 = 231123728532
BaseRepresentation
bin11100000100000000001…
…01100110011001001000
310102011211021002201001102
432002000011212121020
5111244211214012203
62014542435440532
7126443211406361
oct16020005463110
93364737081042
10964221625928
11341a18a74a00
12136a57a56148
136cc05a244b2
1434950800b68
151a1356d1888
hexe080166648

964221625928 has 108 divisors (see below), whose sum is σ = 2044770144795. Its totient is φ = 425937156480.

The previous prime is 964221625919. The next prime is 964221625931. The reversal of 964221625928 is 829526122469.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 398082759844 + 566138866084 = 630938^2 + 752422^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=694342.

It is a super-2 number, since 2×9642216259282 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1130388350 + ... + 1130389202.

Almost surely, 2964221625928 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 964221625928

964221625928 is an abundant number, since it is smaller than the sum of its proper divisors (1080548518867).

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

964221625928 is an equidigital number, since it uses as much as digits as its factorization.

964221625928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 903 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 56.

The spelling of 964221625928 in words is "nine hundred sixty-four billion, two hundred twenty-one million, six hundred twenty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 22 37 44 74 88 121 148 242 296 407 484 814 853 968 1369 1628 1706 2738 3256 3412 4477 5476 6824 8954 9383 10952 15059 17908 18766 30118 31561 35816 37532 60236 63122 75064 103213 120472 126244 165649 206426 252488 331298 347171 412852 662596 694342 727609 825704 1167757 1325192 1388684 1455218 2335514 2777368 2910436 3818881 4671028 5820872 7637762 8003699 9342056 12845327 15275524 16007398 25690654 26921533 30551048 32014796 51381308 53843066 64029592 88040689 102762616 107686132 141298597 176081378 215372264 282597194 296136863 352162756 565194388 592273726 704325512 996096721 1130388776 1184547452 1992193442 2369094904 3257505493 3984386884 6515010986 7968773768 10957063931 13030021972 21914127862 26060043944 43828255724 87656511448 120527703241 241055406482 482110812964 964221625928