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10235804488 = 23713194118049
BaseRepresentation
bin10011000100001100…
…11111101101001000
3222102100110202001221
421202012133231020
5131430331220423
64411404451424
7511436621410
oct114206375510
928370422057
1010235804488
114382932458
121b97b49b74
13c717cc760
146d15c5640
153ed93ae5d
hex26219fb48

10235804488 has 128 divisors (see below), whose sum is σ = 25472160000. Its totient is φ = 3742433280.

The previous prime is 10235804477. The next prime is 10235804489. The reversal of 10235804488 is 88440853201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10235804489) 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, 558088 + ... + 576136.

It is an arithmetic number, because the mean of its divisors is an integer number (199001250).

Almost surely, 210235804488 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 10235804488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12736080000).

10235804488 is an abundant number, since it is smaller than the sum of its proper divisors (15236355512).

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

10235804488 is a wasteful number, since it uses less digits than its factorization.

10235804488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18135 (or 18131 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The spelling of 10235804488 in words is "ten billion, two hundred thirty-five million, eight hundred four thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 41 52 56 76 82 91 104 133 152 164 182 247 266 287 328 364 494 532 533 574 728 779 988 1064 1066 1148 1558 1729 1976 2132 2296 3116 3458 3731 4264 5453 6232 6916 7462 10127 10906 13832 14924 18049 20254 21812 29848 36098 40508 43624 70889 72196 81016 126343 141778 144392 234637 252686 283556 342931 469274 505372 567112 685862 740009 938548 1010744 1371724 1480018 1642459 1877096 2400517 2743448 2960036 3284918 4458103 4801034 5180063 5920072 6569836 8916206 9602068 9620117 10360126 13139672 14060171 17832412 19204136 19240234 20720252 28120342 31206721 35664824 38480468 41440504 56240684 62413442 67340819 76960936 98421197 112481368 124826884 134681638 182782223 196842394 249653768 269363276 365564446 393684788 538726552 731128892 787369576 1279475561 1462257784 2558951122 5117902244 10235804488