Search a number
-
+
210097399392 = 253221110133413
BaseRepresentation
bin1100001110101011000…
…1111110011001100000
3202002022001022201110200
43003222301332121200
511420234413240032
6240303432225200
721115260300126
oct3035261763140
9662261281420
10210097399392
1181113560881
123487523b200
1316a7324c50a
14a251159916
1556e9b7147c
hex30eac7e660

210097399392 has 144 divisors (see below), whose sum is σ = 601064715888. Its totient is φ = 69611351040.

The previous prime is 210097399381. The next prime is 210097399399. The reversal of 210097399392 is 293993790012.

210097399392 is a `hidden beast` number, since 210 + 0 + 9 + 7 + 39 + 9 + 392 = 666.

210097399392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210097399399) 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 23 ways as a sum of consecutive naturals, for example, 61556278 + ... + 61559690.

It is an arithmetic number, because the mean of its divisors is an integer number (4174060527).

Almost surely, 2210097399392 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 210097399392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300532357944).

210097399392 is an abundant number, since it is smaller than the sum of its proper divisors (390967316496).

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

210097399392 is a wasteful number, since it uses less digits than its factorization.

210097399392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The spelling of 210097399392 in words is "two hundred ten billion, ninety-seven million, three hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 211 288 422 633 844 1013 1266 1688 1899 2026 2532 3039 3376 3413 3798 4052 5064 6078 6752 6826 7596 8104 9117 10128 10239 12156 13652 15192 16208 18234 20256 20478 24312 27304 30384 30717 32416 36468 40956 48624 54608 60768 61434 72936 81912 97248 109216 122868 145872 163824 213743 245736 291744 327648 427486 491472 641229 720143 854972 982944 1282458 1440286 1709944 1923687 2160429 2564916 2880572 3419888 3457369 3847374 4320858 5129832 5761144 6481287 6839776 6914738 7694748 8641716 10259664 10372107 11522288 12962574 13829476 15389496 17283432 20519328 20744214 23044576 25925148 27658952 30778992 31116321 34566864 41488428 51850296 55317904 61557984 62232642 69133728 82976856 103700592 110635808 124465284 165953712 207401184 248930568 331907424 497861136 729504859 995722272 1459009718 2188514577 2918019436 4377029154 5836038872 6565543731 8754058308 11672077744 13131087462 17508116616 23344155488 26262174924 35016233232 52524349848 70032466464 105048699696 210097399392