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74300132504 = 23131315719551
BaseRepresentation
bin100010100110010100…
…0100000110010011000
321002210002210210201102
41011030220200302120
52204131313220004
654044421410532
75240140464053
oct1051450406230
9232702723642
1074300132504
1129568540294
1212496b69a48
1370112b2260
14384bb75a9a
151decdbe11e
hex114ca20c98

74300132504 has 64 divisors (see below), whose sum is σ = 151454983680. Its totient is φ = 33967440000.

The previous prime is 74300132471. The next prime is 74300132563. The reversal of 74300132504 is 40523100347.

It is a happy number.

It is a super-2 number, since 2×743001325042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7774529 + ... + 7784079.

It is an arithmetic number, because the mean of its divisors is an integer number (2366484120).

Almost surely, 274300132504 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 74300132504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75727491840).

74300132504 is an abundant number, since it is smaller than the sum of its proper divisors (77154851176).

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

74300132504 is a wasteful number, since it uses less digits than its factorization.

74300132504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10272 (or 10268 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The spelling of 74300132504 in words is "seventy-four billion, three hundred million, one hundred thirty-two thousand, five hundred four".

Divisors: 1 2 4 8 13 26 52 104 131 262 524 571 1048 1142 1703 2284 3406 4568 6812 7423 9551 13624 14846 19102 29692 38204 59384 74801 76408 124163 149602 248326 299204 496652 598408 972413 993304 1251181 1944826 2502362 3889652 5004724 5453621 7779304 10009448 10907242 16265353 21814484 32530706 43628968 65061412 70897073 130122824 141794146 283588292 567176584 714424351 1428848702 2857697404 5715394808 9287516563 18575033126 37150066252 74300132504