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74080258938 = 2347239327299
BaseRepresentation
bin100010011111110000…
…1110000101101111010
321002012210002001220000
41010333201300231322
52203204021241223
654010525013430
75231530545210
oct1047741605572
9232183061800
1074080258938
1129465413aa4
12124353b4276
136ca788a25a
14382a89ccb0
151dd893b543
hex113f870b7a

74080258938 has 80 divisors (see below), whose sum is σ = 189794404800. Its totient is φ = 21156168384.

The previous prime is 74080258921. The next prime is 74080258939. The reversal of 74080258938 is 83985208047.

It is a happy number.

It is a super-2 number, since 2×740802589382 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (74080258939) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2700013 + ... + 2727311.

It is an arithmetic number, because the mean of its divisors is an integer number (2372430060).

Almost surely, 274080258938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74080258938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94897202400).

74080258938 is an abundant number, since it is smaller than the sum of its proper divisors (115714145862).

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

74080258938 is a wasteful number, since it uses less digits than its factorization.

74080258938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29713 (or 29704 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 74080258938 in words is "seventy-four billion, eighty million, two hundred fifty-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 2393 4786 7179 14358 16751 21537 27299 33502 43074 50253 54598 64611 81897 100506 129222 150759 163794 191093 193833 245691 301518 382186 387666 452277 491382 573279 737073 904554 1146558 1356831 1474146 1719837 2211219 2713662 3439674 4422438 5159511 10319022 15478533 30957066 65326507 130653014 195979521 391959042 457285549 587938563 914571098 1175877126 1371856647 1763815689 2743713294 3527631378 4115569941 5291447067 8231139882 10582894134 12346709823 24693419646 37040129469 74080258938