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38221217064 = 2333355749747
BaseRepresentation
bin100011100110001010…
…010111110100101000
310122122200222000001000
4203212022113310220
51111234112421224
625320353155000
72522104661502
oct434612276450
9118580860030
1038221217064
11152339760a8
1274a825ba60
1337b16b0894
141bc8258d72
15eda7700c9
hex8e6297d28

38221217064 has 64 divisors (see below), whose sum is σ = 106202030400. Its totient is φ = 12736567872.

The previous prime is 38221217051. The next prime is 38221217107. The reversal of 38221217064 is 46071212283.

It is a happy number.

38221217064 is a `hidden beast` number, since 382 + 2 + 1 + 217 + 0 + 64 = 666.

It is a super-2 number, since 2×382212170642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 743439 + ... + 793185.

It is an arithmetic number, because the mean of its divisors is an integer number (1659406725).

Almost surely, 238221217064 is an apocalyptic number.

It is an amenable number.

38221217064 is an abundant number, since it is smaller than the sum of its proper divisors (67980813336).

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

38221217064 is a wasteful number, since it uses less digits than its factorization.

38221217064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53319 (or 53309 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 38221217064 in words is "thirty-eight billion, two hundred twenty-one million, two hundred seventeen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 3557 7114 10671 14228 21342 28456 32013 42684 49747 64026 85368 96039 99494 128052 149241 192078 198988 256104 298482 384156 397976 447723 596964 768312 895446 1193928 1343169 1790892 2686338 3581784 5372676 10745352 176950079 353900158 530850237 707800316 1061700474 1415600632 1592550711 2123400948 3185101422 4246801896 4777652133 6370202844 9555304266 12740405688 19110608532 38221217064