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647053228872 = 233247220172
BaseRepresentation
bin10010110101001110110…
…00001011101101001000
32021212011020210202001200
421122213120023231020
541100131111310442
61213130244144200
764514403461211
oct11324730135510
92255136722050
10647053228872
1122a460751906
12a54a0998060
134902b06197b
14234634a6408
1511c70b8534c
hex96a760bb48

647053228872 has 108 divisors (see below), whose sum is σ = 1791403165305. Its totient is φ = 210990721536.

The previous prime is 647053228867. The next prime is 647053228873. The reversal of 647053228872 is 278822350746.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

647053228872 is a `hidden beast` number, since 6 + 4 + 7 + 0 + 532 + 28 + 87 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 557193574116 + 89859654756 = 746454^2 + 299766^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=568794.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (647053228873) 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 26 ways as a sum of consecutive naturals, for example, 320798808 + ... + 320800824.

Almost surely, 2647053228872 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 647053228872

647053228872 is an abundant number, since it is smaller than the sum of its proper divisors (1144349936433).

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

647053228872 is an equidigital number, since it uses as much as digits as its factorization.

647053228872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 647053228872 in words is "six hundred forty-seven billion, fifty-three million, two hundred twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 2017 2209 3384 4034 4418 6051 6627 8068 8836 12102 13254 16136 17672 18153 19881 24204 26508 36306 39762 48408 53016 72612 79524 94799 145224 159048 189598 284397 379196 568794 758392 853191 1137588 1706382 2275176 3412764 4068289 4455553 6825528 8136578 8911106 12204867 13366659 16273156 17822212 24409734 26733318 32546312 35644424 36614601 40099977 48819468 53466636 73229202 80199954 97638936 106933272 146458404 160399908 191209583 292916808 320799816 382419166 573628749 764838332 1147257498 1529676664 1720886247 2294514996 3441772494 4589029992 6883544988 8986850401 13767089976 17973700802 26960551203 35947401604 53921102406 71894803208 80881653609 107842204812 161763307218 215684409624 323526614436 647053228872