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10332633540 = 22352634791367
BaseRepresentation
bin10011001111101111…
…10111100111000100
3222200002200011120010
421213313313213010
5132130123233130
64425144110220
7514023636015
oct114767674704
928602604503
1010332633540
114422558569
122004465370
13c888a2b58
147003cd00c
154071b60b0
hex267df79c4

10332633540 has 96 divisors (see below), whose sum is σ = 29123297280. Its totient is φ = 2737158016.

The previous prime is 10332633539. The next prime is 10332633547. The reversal of 10332633540 is 4533623301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10332633498 and 10332633507.

It is not an unprimeable number, because it can be changed into a prime (10332633547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7557937 + ... + 7559303.

It is an arithmetic number, because the mean of its divisors is an integer number (303367680).

Almost surely, 210332633540 is an apocalyptic number.

10332633540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10332633540 is an abundant number, since it is smaller than the sum of its proper divisors (18790663740).

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

10332633540 is a wasteful number, since it uses less digits than its factorization.

10332633540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The spelling of 10332633540 in words is "ten billion, three hundred thirty-two million, six hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 263 479 526 789 958 1052 1315 1367 1437 1578 1916 2395 2630 2734 2874 3156 3945 4101 4790 5260 5468 5748 6835 7185 7890 8202 9580 13670 14370 15780 16404 20505 27340 28740 41010 82020 125977 251954 359521 377931 503908 629885 654793 719042 755862 1078563 1259770 1309586 1438084 1511724 1797605 1889655 1964379 2157126 2519540 2619172 3273965 3595210 3779310 3928758 4314252 5392815 6547930 7190420 7558620 7857516 9821895 10785630 13095860 19643790 21571260 39287580 172210559 344421118 516631677 688842236 861052795 1033263354 1722105590 2066526708 2583158385 3444211180 5166316770 10332633540