Search a number
-
+
11204547090 = 23511791093943
BaseRepresentation
bin10100110111101011…
…11101001000010010
31001220212022222002120
422123311331020102
5140421331001330
65051452155110
7544442036022
oct123365751022
931825288076
1011204547090
11482a747080
122208468a96
131097414529
14784117a82
154589e5c10
hex29bd7d212

11204547090 has 128 divisors (see below), whose sum is σ = 29987020800. Its totient is φ = 2656592640.

The previous prime is 11204547071. The next prime is 11204547091. The reversal of 11204547090 is 9074540211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11204547091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2839659 + ... + 2843601.

It is an arithmetic number, because the mean of its divisors is an integer number (234273600).

Almost surely, 211204547090 is an apocalyptic number.

11204547090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11204547090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14993510400).

11204547090 is an abundant number, since it is smaller than the sum of its proper divisors (18782473710).

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

11204547090 is a wasteful number, since it uses less digits than its factorization.

11204547090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152.

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 11204547090 in words is "eleven billion, two hundred four million, five hundred forty-seven thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 109 110 158 165 218 237 327 330 395 474 545 654 790 869 1090 1185 1199 1635 1738 2370 2398 2607 3270 3597 3943 4345 5214 5995 7194 7886 8611 8690 11829 11990 13035 17222 17985 19715 23658 25833 26070 35970 39430 43055 43373 51666 59145 86110 86746 94721 118290 129165 130119 189442 216865 258330 260238 284163 311497 429787 433730 473605 568326 622994 650595 859574 934491 947210 1289361 1301190 1420815 1557485 1868982 2148935 2578722 2841630 3114970 3426467 4297870 4672455 4727657 6446805 6852934 9344910 9455314 10279401 12893610 14182971 17132335 20558802 23638285 28365942 33953173 34264670 47276570 51397005 67906346 70914855 101859519 102794010 141829710 169765865 203719038 339531730 373484903 509297595 746969806 1018595190 1120454709 1867424515 2240909418 3734849030 5602273545 11204547090