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41772404115 = 325131937101573
BaseRepresentation
bin100110111001110101…
…000100110110010011
310222211012010222212100
4212321311010312103
51141022213412430
631105011331443
73006105401511
oct467165046623
9128735128770
1041772404115
1116796484532
1281195b0b83
133c2932c9b0
142043b3d4b1
1511473dd960
hex9b9d44d93

41772404115 has 96 divisors (see below), whose sum is σ = 84298294080. Its totient is φ = 18955772928.

The previous prime is 41772404081. The next prime is 41772404119. The reversal of 41772404115 is 51140427714.

It is not a de Polignac number, because 41772404115 - 210 = 41772403091 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41772404115.

It is not an unprimeable number, because it can be changed into a prime (41772404119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360469 + ... + 462041.

It is an arithmetic number, because the mean of its divisors is an integer number (878107230).

Almost surely, 241772404115 is an apocalyptic number.

41772404115 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41772404115 is an abundant number, since it is smaller than the sum of its proper divisors (42525889965).

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

41772404115 is a wasteful number, since it uses less digits than its factorization.

41772404115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101653 (or 101650 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 41772404115 in words is "forty-one billion, seven hundred seventy-two million, four hundred four thousand, one hundred fifteen".

Divisors: 1 3 5 9 13 15 19 37 39 45 57 65 95 111 117 171 185 195 247 285 333 481 555 585 703 741 855 1235 1443 1665 2109 2223 2405 3515 3705 4329 6327 7215 9139 10545 11115 21645 27417 31635 45695 82251 101573 137085 304719 411255 507865 914157 1320449 1523595 1929887 3758201 3961347 4570785 5789661 6602245 9649435 11274603 11884041 17368983 18791005 19806735 25088531 28948305 33823809 48856613 56373015 59420205 71405819 75265593 86844915 125442655 146569839 169119045 214217457 225796779 244283065 357029095 376327965 439709517 642652371 732849195 928275647 1071087285 1128983895 2198547585 2784826941 3213261855 4641378235 8354480823 13924134705 41772404115