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73740404034 = 232115342116691
BaseRepresentation
bin100010010101101000…
…1010100010101000010
321001100002120122121100
41010223101110111002
52202010020412114
653513104435230
75220233043453
oct1045321242502
9231302518540
1073740404034
1129300598a80
121235b618b16
136c5234698b
1437d76b312a
151db8ba8909
hex112b454542

73740404034 has 96 divisors (see below), whose sum is σ = 178016574528. Its totient is φ = 21870576000.

The previous prime is 73740404027. The next prime is 73740404057. The reversal of 73740404034 is 43040404737.

It is a super-3 number, since 3×737404040343 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73740404034.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4409629 + ... + 4426319.

It is an arithmetic number, because the mean of its divisors is an integer number (1854339318).

Almost surely, 273740404034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73740404034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89008287264).

73740404034 is an abundant number, since it is smaller than the sum of its proper divisors (104276170494).

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

73740404034 is a wasteful number, since it uses less digits than its factorization.

73740404034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17184 (or 17181 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

It can be divided in two parts, 73740 and 404034, that added together give a palindrome (477774).

The spelling of 73740404034 in words is "seventy-three billion, seven hundred forty million, four hundred four thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 421 477 583 842 954 1166 1263 1749 2526 3498 3789 4631 5247 7578 9262 10494 13893 16691 22313 27786 33382 41679 44626 50073 66939 83358 100146 133878 150219 183601 200817 245443 300438 367202 401634 490886 550803 736329 884623 1101606 1472658 1652409 1769246 2208987 2653869 3304818 4417974 5307738 7026911 7961607 9730853 14053822 15923214 19461706 21080733 29192559 42161466 58385118 63242199 77296021 87577677 126484398 154592042 175155354 231888063 372426283 463776126 695664189 744852566 1117278849 1391328378 2234557698 3351836547 4096689113 6703673094 8193378226 12290067339 24580134678 36870202017 73740404034