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11050614024 = 2332983233821
BaseRepresentation
bin10100100101010101…
…01111110100001000
31001112010200100121220
422102222233310020
5140112424122044
65024313002040
7540562445412
oct122252576410
931463610556
1011050614024
11476086896a
1221849b3320
131071569388
1476b8c79b2
1544a23b019
hex292aafd08

11050614024 has 128 divisors (see below), whose sum is σ = 29083017600. Its totient is φ = 3494328320.

The previous prime is 11050613993. The next prime is 11050614049. The reversal of 11050614024 is 42041605011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11050613985 and 11050614003.

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, 13459534 + ... + 13460354.

It is an arithmetic number, because the mean of its divisors is an integer number (227211075).

Almost surely, 211050614024 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 11050614024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14541508800).

11050614024 is an abundant number, since it is smaller than the sum of its proper divisors (18032403576).

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

11050614024 is a wasteful number, since it uses less digits than its factorization.

11050614024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 11050614024 in words is "eleven billion, fifty million, six hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 83 87 116 166 174 232 233 249 332 348 466 498 664 696 699 821 932 996 1398 1642 1864 1992 2407 2463 2796 3284 4814 4926 5592 6568 6757 7221 9628 9852 13514 14442 19256 19339 19704 20271 23809 27028 28884 38678 40542 47618 54056 57768 58017 68143 71427 77356 81084 95236 116034 136286 142854 154712 162168 190472 191293 204429 232068 272572 285708 382586 408858 464136 545144 560831 571416 573879 765172 817716 1121662 1147758 1530344 1635432 1682493 1976147 2243324 2295516 3364986 3952294 4486648 4591032 5547497 5928441 6729972 7904588 11094994 11856882 13459944 15809176 15877319 16642491 22189988 23713764 31754638 33284982 44379976 47427528 47631957 63509276 66569964 95263914 127018552 133139928 190527828 381055656 460442251 920884502 1381326753 1841769004 2762653506 3683538008 5525307012 11050614024