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106930626957 = 347311734793
BaseRepresentation
bin110001110010110001…
…1111110000110001101
3101020000011211200010000
41203211203332012031
53222443220030312
6121042342234513
710503561222000
oct1434543760615
9336004750100
10106930626957
1141392607780
1218882a25a39
13a11163633b
1452656bd537
152bac8edadc
hex18e58fe18d

106930626957 has 160 divisors (see below), whose sum is σ = 206042284800. Its totient is φ = 54776010240.

The previous prime is 106930626941. The next prime is 106930626967. The reversal of 106930626957 is 759626039601.

106930626957 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 3 + 0 + 626 + 9 + 5 + 7 = 666.

It is not a de Polignac number, because 106930626957 - 24 = 106930626941 is a prime.

It is a super-2 number, since 2×1069306269572 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106930626967) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22307353 + ... + 22312145.

It is an arithmetic number, because the mean of its divisors is an integer number (1287764280).

Almost surely, 2106930626957 is an apocalyptic number.

It is an amenable number.

106930626957 is a deficient number, since it is larger than the sum of its proper divisors (99111657843).

106930626957 is an equidigital number, since it uses as much as digits as its factorization.

106930626957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 106930626957 in words is "one hundred six billion, nine hundred thirty million, six hundred twenty-six thousand, nine hundred fifty-seven".

Divisors: 1 3 7 9 11 21 27 33 49 63 73 77 81 99 147 189 219 231 297 343 441 511 539 567 657 693 803 891 1029 1323 1533 1617 1971 2079 2409 3087 3577 3773 3969 4599 4793 4851 5621 5913 6237 7227 9261 10731 11319 13797 14379 14553 16863 21681 25039 27783 32193 33551 33957 39347 41391 43137 43659 50589 52723 65043 75117 96579 100653 101871 118041 129411 151767 158169 225351 234857 275429 289737 301959 305613 349889 354123 369061 388233 455301 474507 676053 704571 826287 905877 1049667 1062369 1107183 1423521 1643999 2028159 2113713 2449223 2478861 2583427 2717631 3149001 3187107 3321549 3848779 4270563 4931997 6341139 7347669 7436583 7750281 9447003 9964647 11546337 14795991 17144561 18083989 19023417 22043007 22309749 23250843 26941453 28341009 29893941 34639011 44387973 51433683 54251967 66129021 69752529 80824359 103917033 120011927 133163919 154301049 162755901 188590171 198387063 209257587 242473077 311751099 360035781 462903147 488267703 565770513 727419231 1080107343 1320131197 1388709441 1464803109 1697311539 2182257693 3240322029 3960393591 5091934617 9720966087 11881180773 15275803851 35643542319 106930626957