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74800062016 = 2617220112
BaseRepresentation
bin100010110101001101…
…1100101111001000000
321011001221111212002021
41011222123211321000
52211142303441031
654210200531224
75255421015361
oct1055233457100
9234057455067
1074800062016
11297a4759779
12125b6480b14
137090a41234
14389830db68
151e2bc21511
hex116a6e5e40

74800062016 has 63 divisors (see below), whose sum is σ = 157754679537. Its totient is φ = 35182525440.

The previous prime is 74800061983. The next prime is 74800062041. The reversal of 74800062016 is 61026000847.

The square root of 74800062016 is 273496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 58235342400 + 16564719616 = 241320^2 + 128704^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37194451 + ... + 37196461.

Almost surely, 274800062016 is an apocalyptic number.

74800062016 is the 273496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74800062016

74800062016 is an abundant number, since it is smaller than the sum of its proper divisors (82954617521).

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

74800062016 is an frugal number, since it uses more digits than its factorization.

74800062016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 74800062016 in words is "seventy-four billion, eight hundred million, sixty-two thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2011 2312 4022 4624 8044 9248 16088 18496 32176 34187 64352 68374 128704 136748 273496 546992 581179 1093984 1162358 2187968 2324716 4044121 4649432 8088242 9298864 16176484 18597728 32352968 37195456 64705936 68750057 129411872 137500114 258823744 275000228 550000456 1100000912 1168750969 2200001824 2337501938 4400003648 4675003876 9350007752 18700015504 37400031008 74800062016