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10288235000 = 23543176491
BaseRepresentation
bin10011001010011101…
…00000000111111000
3222120000010111012202
421211032200013320
5132032242010000
64420520325332
7512644361141
oct114516400770
928500114182
1010288235000
1143aa49325a
121bb1613848
13c7c629224
146d8552ac8
15403345dd5
hex2653a01f8

10288235000 has 80 divisors (see below), whose sum is σ = 24185102040. Its totient is φ = 4101680000.

The previous prime is 10288234961. The next prime is 10288235021. The reversal of 10288235000 is 53288201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1581755 + ... + 1588245.

Almost surely, 210288235000 is an apocalyptic number.

10288235000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10288235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12092551020).

10288235000 is an abundant number, since it is smaller than the sum of its proper divisors (13896867040).

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

10288235000 is an equidigital number, since it uses as much as digits as its factorization.

10288235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6834 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 10288235000 in words is "ten billion, two hundred eighty-eight million, two hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 317 500 625 634 1000 1250 1268 1585 2500 2536 3170 5000 6340 6491 7925 12680 12982 15850 25964 31700 32455 39625 51928 63400 64910 79250 129820 158500 162275 198125 259640 317000 324550 396250 649100 792500 811375 1298200 1585000 1622750 2057647 3245500 4056875 4115294 6491000 8113750 8230588 10288235 16227500 16461176 20576470 32455000 41152940 51441175 82305880 102882350 205764700 257205875 411529400 514411750 1028823500 1286029375 2057647000 2572058750 5144117500 10288235000