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41204746422 = 23272338936551
BaseRepresentation
bin100110010111111111…
…101000100010110110
310221100121222222220100
4212113333220202312
51133341403341142
630532412414530
72656043365020
oct462777504266
9127317888810
1041204746422
1116525006944
127b9b477446
133b68849278
141dcc5b5010
15111265db4c
hex997fe88b6

41204746422 has 96 divisors (see below), whose sum is σ = 106743536640. Its totient is φ = 11231668800.

The previous prime is 41204746417. The next prime is 41204746423. The reversal of 41204746422 is 22464740214.

41204746422 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 4 + 7 + 4 + 642 + 2 = 666.

It is a super-2 number, since 2×412047464222 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41204746423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1109047 + ... + 1145597.

It is an arithmetic number, because the mean of its divisors is an integer number (1111911840).

Almost surely, 241204746422 is an apocalyptic number.

41204746422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41204746422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53371768320).

41204746422 is an abundant number, since it is smaller than the sum of its proper divisors (65538790218).

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

41204746422 is a wasteful number, since it uses less digits than its factorization.

41204746422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36978 (or 36975 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 41204746422 in words is "forty-one billion, two hundred four million, seven hundred forty-six thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 389 414 483 778 966 1167 1449 2334 2723 2898 3501 5446 7002 8169 8947 16338 17894 24507 26841 36551 49014 53682 62629 73102 80523 109653 125258 161046 187887 219306 255857 328959 375774 511714 563661 657918 767571 840673 1127322 1535142 1681346 2302713 2522019 4605426 5044038 5884711 7566057 11769422 14218339 15132114 17654133 28436678 35308266 42655017 52962399 85310034 99528373 105924798 127965051 199056746 255930102 298585119 327021797 597170238 654043594 895755357 981065391 1791510714 1962130782 2289152579 2943196173 4578305158 5886392346 6867457737 13734915474 20602373211 41204746422