Search a number
-
+
41836294272 = 2733719714947
BaseRepresentation
bin100110111101101000…
…110011000010000000
310222222122100221200110
4212331220303002000
51141140042404042
631115212551320
73010512430263
oct467550630200
9128878327613
1041836294272
1116819552113
128136a82540
133c3963c516
14204c410cda
15114cd0e09c
hex9bda33080

41836294272 has 128 divisors (see below), whose sum is σ = 114718127040. Its totient is φ = 13498748928.

The previous prime is 41836294259. The next prime is 41836294303. The reversal of 41836294272 is 27249263814.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2791503 + ... + 2806449.

Almost surely, 241836294272 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 41836294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57359063520).

41836294272 is an abundant number, since it is smaller than the sum of its proper divisors (72881832768).

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

41836294272 is a wasteful number, since it uses less digits than its factorization.

41836294272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15198 (or 15186 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The spelling of 41836294272 in words is "forty-one billion, eight hundred thirty-six million, two hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 197 222 296 384 394 444 591 592 788 888 1182 1184 1576 1776 2364 2368 3152 3552 4728 4736 6304 7104 7289 9456 12608 14208 14578 14947 18912 21867 25216 29156 29894 37824 43734 44841 58312 59788 75648 87468 89682 116624 119576 174936 179364 233248 239152 349872 358728 466496 478304 553039 699744 717456 932992 956608 1106078 1399488 1434912 1659117 1913216 2212156 2798976 2869824 2944559 3318234 4424312 5739648 5889118 6636468 8833677 8848624 11778236 13272936 17667354 17697248 23556472 26545872 35334708 35394496 47112944 53091744 70669416 70788992 94225888 106183488 108948683 141338832 188451776 212366976 217897366 282677664 326846049 376903552 435794732 565355328 653692098 871589464 1130710656 1307384196 1743178928 2614768392 3486357856 5229536784 6972715712 10459073568 13945431424 20918147136 41836294272