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10053530304 = 2631013111667
BaseRepresentation
bin10010101110011110…
…01011001011000000
3221221122111020220020
421113033023023000
5131042200432204
64341334013440
7504064411656
oct112717131300
927848436806
1010053530304
114299a57134
121b46aa7280
13c42b106cc
146b52d8dd6
153dc933bd9
hex2573cb2c0

10053530304 has 112 divisors (see below), whose sum is σ = 26965875456. Its totient is φ = 3305344000.

The previous prime is 10053530281. The next prime is 10053530317. The reversal of 10053530304 is 40303535001.

It is a happy number.

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

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, 6030079 + ... + 6031745.

Almost surely, 210053530304 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 10053530304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13482937728).

10053530304 is an abundant number, since it is smaller than the sum of its proper divisors (16912345152).

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

10053530304 is a wasteful number, since it uses less digits than its factorization.

10053530304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The spelling of 10053530304 in words is "ten billion, fifty-three million, five hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 311 404 606 622 808 933 1212 1244 1616 1667 1866 2424 2488 3232 3334 3732 4848 4976 5001 6464 6668 7464 9696 9952 10002 13336 14928 19392 19904 20004 26672 29856 31411 40008 53344 59712 62822 80016 94233 106688 125644 160032 168367 188466 251288 320064 336734 376932 502576 505101 518437 673468 753864 1005152 1010202 1036874 1346936 1507728 1555311 2010304 2020404 2073748 2693872 3015456 3110622 4040808 4147496 5387744 6030912 6221244 8081616 8294992 10775488 12442488 16163232 16589984 24884976 32326464 33179968 49769952 52362137 99539904 104724274 157086411 209448548 314172822 418897096 628345644 837794192 1256691288 1675588384 2513382576 3351176768 5026765152 10053530304