Search a number
-
+
10308154704 = 24343113193229
BaseRepresentation
bin10011001100110100…
…11111010101010000
3222121101121111220120
421212122133111100
5132102341422304
64422511310240
7513305604111
oct114632372520
928541544816
1010308154704
11440a759221
121bb821b380
13c837b1c33
146db05a208
15404e7d0d9
hex26669f550

10308154704 has 160 divisors (see below), whose sum is σ = 27752926080. Its totient is φ = 3294756864.

The previous prime is 10308154699. The next prime is 10308154729. The reversal of 10308154704 is 40745180301.

10308154704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45013662 + ... + 45013890.

It is an arithmetic number, because the mean of its divisors is an integer number (173455788).

Almost surely, 210308154704 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 10308154704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13876463040).

10308154704 is an abundant number, since it is smaller than the sum of its proper divisors (17444771376).

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

10308154704 is a wasteful number, since it uses less digits than its factorization.

10308154704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 10308154704 in words is "ten billion, three hundred eight million, one hundred fifty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 113 129 172 193 226 229 258 339 344 386 452 458 516 579 678 687 688 772 904 916 1032 1158 1356 1374 1544 1808 1832 2064 2316 2712 2748 3088 3664 4632 4859 5424 5496 8299 9264 9718 9847 10992 14577 16598 19436 19694 21809 24897 25877 29154 29541 33196 38872 39388 43618 44197 49794 51754 58308 59082 65427 66392 77631 77744 78776 87236 88394 99588 103508 116616 118164 130854 132591 132784 155262 157552 174472 176788 199176 207016 233232 236328 261708 265182 310524 348944 353576 398352 414032 472656 523416 530364 621048 707152 937787 1046832 1060728 1112711 1242096 1875574 1900471 2121456 2225422 2813361 3338133 3751148 3800942 4450844 4994261 5626722 5701413 6676266 7502296 7601884 8901688 9988522 11253444 11402826 13352532 14982783 15004592 15203768 17803376 19977044 22506888 22805652 26705064 29965566 30407536 39954088 45013776 45611304 53410128 59931132 79908176 91222608 119862264 214753223 239724528 429506446 644259669 859012892 1288519338 1718025784 2577038676 3436051568 5154077352 10308154704