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74301142734 = 23271374361051
BaseRepresentation
bin100010100110010110…
…0010111011011001110
321002210011201010111100
41011030230113123032
52204132043031414
654044455203530
75240152202250
oct1051454273316
9232704633440
1074301142734
1129569070295
12124973765a6
137011577020
14384bd59cd0
151ded01d609
hex114cb176ce

74301142734 has 96 divisors (see below), whose sum is σ = 198406301184. Its totient is φ = 19569211200.

The previous prime is 74301142673. The next prime is 74301142793. The reversal of 74301142734 is 43724110347.

74301142734 is a `hidden beast` number, since 74 + 301 + 14 + 273 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1186509 + ... + 1247559.

It is an arithmetic number, because the mean of its divisors is an integer number (2066732304).

Almost surely, 274301142734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74301142734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99203150592).

74301142734 is an abundant number, since it is smaller than the sum of its proper divisors (124105158450).

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

74301142734 is a wasteful number, since it uses less digits than its factorization.

74301142734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61822 (or 61819 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 74301142734 in words is "seventy-four billion, three hundred one million, one hundred forty-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 743 819 1486 1638 2229 4458 5201 6687 9659 10402 13374 15603 19318 28977 31206 46809 57954 61051 67613 86931 93618 122102 135226 173862 183153 202839 366306 405678 427357 549459 608517 793663 854714 1098918 1217034 1282071 1587326 2380989 2564142 3846213 4761978 5555641 7142967 7692426 11111282 14285934 16666923 33333846 45360893 50000769 90721786 100001538 136082679 272165358 317526251 408248037 589691609 635052502 816496074 952578753 1179383218 1769074827 1905157506 2857736259 3538149654 4127841263 5307224481 5715472518 8255682526 10614448962 12383523789 24767047578 37150571367 74301142734