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10305236928 = 263716994513
BaseRepresentation
bin10011001100011110…
…10110111111000000
3222121012010021110210
421212033112333000
5132101120040203
64422324554120
7513242032350
oct114617267700
928535107423
1010305236928
114409046038
121bb7252940
13c82cccb3c
146da8dab60
15404aa3803
hex2663d6fc0

10305236928 has 112 divisors (see below), whose sum is σ = 31186323200. Its totient is φ = 2941968384.

The previous prime is 10305236927. The next prime is 10305236933. The reversal of 10305236928 is 82963250301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305236927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2281200 + ... + 2285712.

Almost surely, 210305236928 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 10305236928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593161600).

10305236928 is an abundant number, since it is smaller than the sum of its proper divisors (20881086272).

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

10305236928 is a wasteful number, since it uses less digits than its factorization.

10305236928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6234 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 10305236928 in words is "ten billion, three hundred five million, two hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1699 3398 4513 5097 6796 9026 10194 11893 13539 13592 18052 20388 23786 27078 27184 31591 35679 36104 40776 47572 54156 54368 63182 71358 72208 81552 94773 95144 108312 108736 126364 142716 144416 163104 189546 190288 216624 252728 285432 288832 326208 379092 380576 433248 505456 570864 758184 761152 866496 1010912 1141728 1516368 2021824 2283456 3032736 6065472 7667587 15335174 23002761 30670348 46005522 53673109 61340696 92011044 107346218 122681392 161019327 184022088 214692436 245362784 322038654 368044176 429384872 490725568 644077308 736088352 858769744 1288154616 1472176704 1717539488 2576309232 3435078976 5152618464 10305236928