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74314057152 = 2636117336677
BaseRepresentation
bin100010100110101110…
…1101000010111000000
321002211002000020202010
41011031131220113000
52204143344312102
654050040052520
75240400030516
oct1051535502700
9232732006663
1074314057152
1129575391065
121249b764140
1370141492aa
14384d95c4b6
151dee21ed6c
hex114d7685c0

74314057152 has 112 divisors (see below), whose sum is σ = 201006590112. Its totient is φ = 24223764480.

The previous prime is 74314057151. The next prime is 74314057157. The reversal of 74314057152 is 25175041347.

It is a super-2 number, since 2×743140571522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74314057152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74314057151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007838 + ... + 2044514.

Almost surely, 274314057152 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 74314057152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100503295056).

74314057152 is an abundant number, since it is smaller than the sum of its proper divisors (126692532960).

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

74314057152 is a wasteful number, since it uses less digits than its factorization.

74314057152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36926 (or 36916 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

Adding to 74314057152 its reverse (25175041347), we get a palindrome (99489098499).

The spelling of 74314057152 in words is "seventy-four billion, three hundred fourteen million, fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 173 183 192 244 346 366 488 519 692 732 976 1038 1384 1464 1952 2076 2768 2928 3904 4152 5536 5856 8304 10553 11072 11712 16608 21106 31659 33216 36677 42212 63318 73354 84424 110031 126636 146708 168848 220062 253272 293416 337696 440124 506544 586832 675392 880248 1013088 1173664 1760496 2026176 2237297 2347328 3520992 4474594 6345121 6711891 7041984 8949188 12690242 13423782 17898376 19035363 25380484 26847564 35796752 38070726 50760968 53695128 71593504 76141452 101521936 107390256 143187008 152282904 203043872 214780512 304565808 387052381 406087744 429561024 609131616 774104762 1161157143 1218263232 1548209524 2322314286 3096419048 4644628572 6192838096 9289257144 12385676192 18578514288 24771352384 37157028576 74314057152