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397913187042 = 234719162711351
BaseRepresentation
bin1011100101001010111…
…10010110001011100010
31102001002020212021210000
411302211132112023202
523004411233441132
6502444312320430
740514442166140
oct5624536261342
91361066767700
10397913187042
11143832690998
12651503a3116
132b6a51b9887
141538ad8a590
15a53d5d887c
hex5ca57962e2

397913187042 has 160 divisors (see below), whose sum is σ = 1073379732480. Its totient is φ = 107630143200.

The previous prime is 397913187041. The next prime is 397913187043. The reversal of 397913187042 is 240781319793.

397913187042 is a `hidden beast` number, since 397 + 9 + 131 + 87 + 0 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (397913187041) and next prime (397913187043).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 397913187042.

It is not an unprimeable number, because it can be changed into a prime (397913187041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35049667 + ... + 35061017.

It is an arithmetic number, because the mean of its divisors is an integer number (6708623328).

Almost surely, 2397913187042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397913187042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536689866240).

397913187042 is an abundant number, since it is smaller than the sum of its proper divisors (675466545438).

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

397913187042 is a wasteful number, since it uses less digits than its factorization.

397913187042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13018 (or 13009 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 397913187042 in words is "three hundred ninety-seven billion, nine hundred thirteen million, one hundred eighty-seven thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 798 1026 1134 1197 1539 1627 2394 3078 3254 3591 4881 7182 9762 10773 11351 11389 14643 21546 22702 22778 29286 30913 34053 34167 43929 61826 68106 68334 79457 87858 92739 102159 102501 131787 158914 185478 204318 205002 215669 216391 238371 263574 278217 306477 307503 431338 432782 476742 556434 612954 615006 647007 649173 715113 834651 919431 922509 1294014 1298346 1430226 1509683 1669302 1838862 1845018 1941021 1947519 2145339 2503953 3019366 3882042 3895038 4290678 4529049 5007906 5823063 5842557 6436017 9058098 11646126 11685114 12872034 13587147 17469189 17527671 18468077 27174294 34938378 35055342 36936154 40761441 55404231 81522882 110808462 122284323 129276539 166212693 244568646 258553078 332425386 350893463 387829617 498638079 701786926 775659234 997276158 1052680389 1163488851 1495914237 2105360778 2326977702 2456254241 2991828474 3158041167 3490466553 4912508482 6316082334 6980933106 7368762723 9474123501 10471399659 14737525446 18948247002 20942799318 22106288169 28422370503 44212576338 56844741006 66318864507 132637729014 198956593521 397913187042