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10050020032 = 2613127227419
BaseRepresentation
bin10010101110000011…
…10010001011000000
3221221101212220201011
421113001302023000
5131040301120112
64341130450304
7504022521643
oct112701621300
927841786634
1010050020032
114297a79888
121b45893994
13c42181a20
146b4a63a5a
153dc48daa7
hex2570722c0

10050020032 has 112 divisors (see below), whose sum is σ = 21793443840. Its totient is φ = 4570739712.

The previous prime is 10050020009. The next prime is 10050020041. The reversal of 10050020032 is 23002005001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10050019994 and 10050020021.

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 15 ways as a sum of consecutive naturals, for example, 23985519 + ... + 23985937.

It is an arithmetic number, because the mean of its divisors is an integer number (194584320).

Almost surely, 210050020032 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 10050020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10896721920).

10050020032 is an abundant number, since it is smaller than the sum of its proper divisors (11743423808).

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

10050020032 is a wasteful number, since it uses less digits than its factorization.

10050020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 10050020032 its reverse (23002005001), we get a palindrome (33052025033).

The spelling of 10050020032 in words is "ten billion, fifty million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 208 227 254 416 419 454 508 832 838 908 1016 1651 1676 1816 2032 2951 3302 3352 3632 4064 5447 5902 6604 6704 7264 8128 10894 11804 13208 13408 14528 21788 23608 26416 26816 28829 43576 47216 52832 53213 57658 87152 94432 95113 105664 106426 115316 174304 188864 190226 212852 230632 348608 374777 380452 425704 461264 691769 749554 760904 851408 922528 1236469 1383538 1499108 1521808 1702816 1845056 2472938 2767076 2998216 3043616 3405632 4945876 5534152 5996432 6087232 9891752 11068304 11992864 12079351 19783504 22136608 23985728 24158702 39567008 44273216 48317404 79134016 96634808 157031563 193269616 314063126 386539232 628126252 773078464 1256252504 2512505008 5025010016 10050020032