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74136520146 = 23132389187951
BaseRepresentation
bin100010100001011100…
…0011000010111010010
321002100200221102202110
41011002320120113102
52203312422121041
654020254530150
75233113011103
oct1050270302722
9232320842673
1074136520146
1129494150967
1212450206956
136cb6428500
1438341463aa
151ddd851516
hex1142e185d2

74136520146 has 48 divisors (see below), whose sum is σ = 160969610880. Its totient is φ = 22752475200.

The previous prime is 74136520127. The next prime is 74136520229. The reversal of 74136520146 is 64102563147.

It is a happy number.

It is a super-2 number, since 2×741365201462 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300471 + ... + 488421.

It is an arithmetic number, because the mean of its divisors is an integer number (3353533560).

Almost surely, 274136520146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74136520146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80484805440).

74136520146 is an abundant number, since it is smaller than the sum of its proper divisors (86833090734).

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

74136520146 is a wasteful number, since it uses less digits than its factorization.

74136520146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188371 (or 188358 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 74136520146 in words is "seventy-four billion, one hundred thirty-six million, five hundred twenty thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 169 338 389 507 778 1014 1167 2334 5057 10114 15171 30342 65741 131482 187951 197223 375902 394446 563853 1127706 2443363 4886726 7330089 14660178 31763719 63527438 73112939 95291157 146225878 190582314 219338817 438677634 950468207 1900936414 2851404621 5702809242 12356086691 24712173382 37068260073 74136520146