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10073503320 = 2335312707931
BaseRepresentation
bin10010110000110110…
…10111011001011000
3222000001001222201120
421120123113121120
5131112304101240
64343330045240
7504426236226
oct113033273130
928001058646
1010073503320
1142aa259161
121b51719820
13c46cb476a
146b7c17b16
153de57bad0
hex2586d7658

10073503320 has 64 divisors (see below), whose sum is σ = 31195376640. Its totient is φ = 2599612800.

The previous prime is 10073503313. The next prime is 10073503331. The reversal of 10073503320 is 2330537001.

10073503320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1350246 + ... + 1357685.

It is an arithmetic number, because the mean of its divisors is an integer number (487427760).

Almost surely, 210073503320 is an apocalyptic number.

10073503320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10073503320 is an abundant number, since it is smaller than the sum of its proper divisors (21121873320).

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

10073503320 is a wasteful number, since it uses less digits than its factorization.

10073503320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707976 (or 2707972 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The spelling of 10073503320 in words is "ten billion, seventy-three million, five hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 2707931 5415862 8123793 10831724 13539655 16247586 21663448 27079310 32495172 40618965 54158620 64990344 81237930 83945861 108317240 162475860 167891722 251837583 324951720 335783444 419729305 503675166 671566888 839458610 1007350332 1259187915 1678917220 2014700664 2518375830 3357834440 5036751660 10073503320