Search a number
-
+
42362221632 = 263439541929
BaseRepresentation
bin100111011100111111…
…000011010001000000
311001100021222211101120
4213130333003101000
51143224212043012
631243321232240
73026526641223
oct473477032100
9131307884346
1042362221632
1116a69408125
128263032680
133cc15a1943
14209c1d55ba
15117e09958c
hex9dcfc3440

42362221632 has 112 divisors (see below), whose sum is σ = 112667491200. Its totient is φ = 14047395840.

The previous prime is 42362221553. The next prime is 42362221661. The reversal of 42362221632 is 23612226324.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42362221593 and 42362221602.

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 15 ways as a sum of consecutive naturals, for example, 45599344 + ... + 45600272.

Almost surely, 242362221632 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 42362221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56333745600).

42362221632 is an abundant number, since it is smaller than the sum of its proper divisors (70305269568).

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

42362221632 is a wasteful number, since it uses less digits than its factorization.

42362221632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1914 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 42362221632 its reverse (23612226324), we get a palindrome (65974447956).

The spelling of 42362221632 in words is "forty-two billion, three hundred sixty-two million, two hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 439 541 878 929 1082 1317 1623 1756 1858 2164 2634 2787 3246 3512 3716 4328 5268 5574 6492 7024 7432 8656 10536 11148 12984 14048 14864 17312 21072 22296 25968 28096 29728 34624 42144 44592 51936 59456 84288 89184 103872 178368 237499 407831 474998 502589 712497 815662 949996 1005178 1223493 1424994 1507767 1631324 1899992 2010356 2446986 2849988 3015534 3262648 3799984 4020712 4893972 5699976 6031068 6525296 7599968 8041424 9787944 11399952 12062136 13050592 15199936 16082848 19575888 22799904 24124272 26101184 32165696 39151776 45599808 48248544 78303552 96497088 220636571 441273142 661909713 882546284 1323819426 1765092568 2647638852 3530185136 5295277704 7060370272 10590555408 14120740544 21181110816 42362221632