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671996864 = 26711197177
BaseRepresentation
bin101000000011011…
…101101111000000
31201211110222101202
4220003131233000
52334012344424
6150403120332
722436610350
oct5003355700
91654428352
10671996864
11315363210
121690730a8
13a92b62a6
1465368b60
153dee02ae
hex280ddbc0

671996864 has 112 divisors (see below), whose sum is σ = 1750283520. Its totient is φ = 248002560.

The previous prime is 671996851. The next prime is 671996867. The reversal of 671996864 is 468699176.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671996867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90044 + ... + 97220.

Almost surely, 2671996864 is an apocalyptic number.

671996864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875141760).

671996864 is an abundant number, since it is smaller than the sum of its proper divisors (1078286656).

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

671996864 is a wasteful number, since it uses less digits than its factorization.

671996864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226 (or 7216 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 56.

The square root of 671996864 is about 25922.9023066477. The cubic root of 671996864 is about 875.9024654584.

The spelling of 671996864 in words is "six hundred seventy-one million, nine hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 448 532 608 616 704 836 1064 1216 1232 1463 1672 2128 2464 2926 3344 4256 4928 5852 6688 7177 8512 11704 13376 14354 23408 28708 46816 50239 57416 78947 93632 100478 114832 136363 157894 200956 229664 272726 315788 401912 459328 545452 552629 631576 803824 954541 1090904 1105258 1263152 1499993 1607648 1909082 2181808 2210516 2526304 2999986 3215296 3818164 4363616 4421032 5052608 5999972 7636328 8727232 8842064 10499951 11999944 15272656 17684128 20999902 23999888 30545312 35368256 41999804 47999776 61090624 83999608 95999552 167999216 335998432 671996864