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10088783952 = 2431333074889
BaseRepresentation
bin10010110010101011…
…01010000001010000
3222001002211022210220
421121111222001100
5131130212041302
64345033353040
7505003151202
oct113125520120
928032738726
1010088783952
114307945785
121b56868780
13c4a204a60
146b9c74772
153e0a994bc
hex25956a050

10088783952 has 80 divisors (see below), whose sum is σ = 28081744320. Its totient is φ = 3102667776.

The previous prime is 10088783927. The next prime is 10088783953. The reversal of 10088783952 is 25938788001.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10088783895 and 10088783904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10088783953) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2061124 + ... + 2066012.

It is an arithmetic number, because the mean of its divisors is an integer number (351021804).

Almost surely, 210088783952 is an apocalyptic number.

10088783952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10088783952 is an abundant number, since it is smaller than the sum of its proper divisors (17992960368).

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

10088783952 is a wasteful number, since it uses less digits than its factorization.

10088783952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8220 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 10088783952 in words is "ten billion, eighty-eight million, seven hundred eighty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3307 4889 6614 9778 9921 13228 14667 19556 19842 26456 29334 39112 39684 42991 52912 58668 63557 78224 79368 85982 117336 127114 128973 158736 171964 190671 234672 254228 257946 343928 381342 508456 515892 687856 762684 1016912 1031784 1525368 2063568 3050736 16167923 32335846 48503769 64671692 97007538 129343384 194015076 210182999 258686768 388030152 420365998 630548997 776060304 840731996 1261097994 1681463992 2522195988 3362927984 5044391976 10088783952