Search a number
-
+
11453605320 = 23352319121727
BaseRepresentation
bin10101010101011000…
…00010010111001000
31002120012222102202110
422222230002113020
5141424110332240
65132310302320
7553555016223
oct125254022710
932505872673
1011453605320
114948297223
1222779579a0
131106bb7371
147a922a5ba
154707e0c80
hex2aab025c8

11453605320 has 128 divisors (see below), whose sum is σ = 36044144640. Its totient is φ = 2906069760.

The previous prime is 11453605301. The next prime is 11453605349. The reversal of 11453605320 is 2350635411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516297 + ... + 538023.

It is an arithmetic number, because the mean of its divisors is an integer number (281594880).

Almost surely, 211453605320 is an apocalyptic number.

11453605320 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 11453605320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18022072320).

11453605320 is an abundant number, since it is smaller than the sum of its proper divisors (24590539320).

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

11453605320 is a wasteful number, since it uses less digits than its factorization.

11453605320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21955 (or 21951 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 11453605320 in words is "eleven billion, four hundred fifty-three million, six hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 191 230 276 345 382 460 552 573 690 764 920 955 1146 1380 1528 1910 2292 2760 2865 3820 4393 4584 5730 7640 8786 11460 13179 17572 21727 21965 22920 26358 35144 43454 43930 52716 65181 65895 86908 87860 105432 108635 130362 131790 173816 175720 217270 260724 263580 325905 434540 499721 521448 527160 651810 869080 999442 1303620 1499163 1998884 2498605 2607240 2998326 3997768 4149857 4997210 5996652 7495815 8299714 9994420 11993304 12449571 14991630 16599428 19988840 20749285 24899142 29983260 33198856 41498570 49798284 59966520 62247855 82997140 95446711 99596568 124495710 165994280 190893422 248991420 286340133 381786844 477233555 497982840 572680266 763573688 954467110 1145360532 1431700665 1908934220 2290721064 2863401330 3817868440 5726802660 11453605320