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214626211264 = 2671153130851
BaseRepresentation
bin1100011111100010111…
…0000001010111000000
3202111222200002012102201
43013320232001113000
512004023302230024
6242333052322544
721335431460233
oct3077056012700
9674880065381
10214626211264
11830279a0203
1235719a73454
13173155a325a
14a56080541a
1558b2551744
hex31f8b815c0

214626211264 has 56 divisors (see below), whose sum is σ = 432193574016. Its totient is φ = 105729120000.

The previous prime is 214626211259. The next prime is 214626211291. The reversal of 214626211264 is 462112626412.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 6941439 + ... + 6972289.

Almost surely, 2214626211264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214626211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216096787008).

214626211264 is an abundant number, since it is smaller than the sum of its proper divisors (217567362752).

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

214626211264 is a wasteful number, since it uses less digits than its factorization.

214626211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32465 (or 32455 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

Adding to 214626211264 its reverse (462112626412), we get a palindrome (676738837676).

The spelling of 214626211264 in words is "two hundred fourteen billion, six hundred twenty-six million, two hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 1531 2272 3062 4544 6124 12248 24496 30851 48992 61702 97984 108701 123404 217402 246808 434804 493616 869608 987232 1739216 1974464 2190421 3478432 4380842 6956864 8761684 17523368 35046736 47232881 70093472 94465762 140186944 188931524 377863048 755726096 1511452192 3022904384 3353534551 6707069102 13414138204 26828276408 53656552816 107313105632 214626211264