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438527228664 = 233719137383217
BaseRepresentation
bin1100110000110100100…
…00100111101011111000
31112220220201100101000210
412120122100213223320
524141100432304124
6533242344231120
743453053640560
oct6303220475370
91486821311023
10438527228664
11159a84208548
1270ba5a6b4a0
1332478543075
1417320d17da0
15b618e63a29
hex661a427af8

438527228664 has 64 divisors (see below), whose sum is σ = 1318878892800. Its totient is φ = 118699098624.

The previous prime is 438527228663. The next prime is 438527228719. The reversal of 438527228664 is 466822725834.

It is a super-2 number, since 2×4385272286642 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438527228663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68688417 + ... + 68694800.

It is an arithmetic number, because the mean of its divisors is an integer number (20607482700).

Almost surely, 2438527228664 is an apocalyptic number.

It is an amenable number.

438527228664 is an abundant number, since it is smaller than the sum of its proper divisors (880351664136).

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

438527228664 is a wasteful number, since it uses less digits than its factorization.

438527228664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137383252 (or 137383248 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 57.

The spelling of 438527228664 in words is "four hundred thirty-eight billion, five hundred twenty-seven million, two hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 137383217 274766434 412149651 549532868 824299302 961682519 1099065736 1648598604 1923365038 2610281123 2885047557 3297197208 3846730076 5220562246 5770095114 7693460152 7830843369 10441124492 11540190228 15661686738 18271967861 20882248984 23080380456 31323373476 36543935722 54815903583 62646746952 73087871444 109631807166 146175742888 219263614332 438527228664