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217489073264 = 2429716601781
BaseRepresentation
bin1100101010001101011…
…0111110010001110000
3202210101012001122210122
43022203112332101300
512030404200321024
6243525121345412
721466403422541
oct3124326762160
9683335048718
10217489073264
1184266a03861
1236198798268
1317680740038
14a752b104c8
1559cda56d5e
hex32a35be470

217489073264 has 40 divisors (see below), whose sum is σ = 442055322720. Its totient is φ = 103515910400.

The previous prime is 217489073231. The next prime is 217489073273. The reversal of 217489073264 is 462370984712.

It is a happy number.

217489073264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2174890732642 (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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3267947 + ... + 3333834.

It is an arithmetic number, because the mean of its divisors is an integer number (11051383068).

Almost surely, 2217489073264 is an apocalyptic number.

It is an amenable number.

217489073264 is an abundant number, since it is smaller than the sum of its proper divisors (224566249456).

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

217489073264 is a wasteful number, since it uses less digits than its factorization.

217489073264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601889 (or 6601883 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The spelling of 217489073264 in words is "two hundred seventeen billion, four hundred eighty-nine million, seventy-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 71 116 142 232 284 464 568 1136 2059 4118 8236 16472 32944 6601781 13203562 26407124 52814248 105628496 191451649 382903298 468726451 765806596 937452902 1531613192 1874905804 3063226384 3749811608 7499623216 13593067079 27186134158 54372268316 108744536632 217489073264