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106006666491 = 3311418705483
BaseRepresentation
bin110001010111001111…
…1010101110011111011
3101010121210020121122000
41202232133111303323
53214100201311431
6120410534432043
710441641540465
oct1425637256373
9333553217560
10106006666491
1140a58aaa590
1218665502623
139cc50a097b
1451b8ac7135
152b5673c9e6
hex18ae7d5cfb

106006666491 has 32 divisors (see below), whose sum is σ = 175502557440. Its totient is φ = 62679470400.

The previous prime is 106006666487. The next prime is 106006666501. The reversal of 106006666491 is 194666600601.

It is not a de Polignac number, because 106006666491 - 22 = 106006666487 is a prime.

It is a super-2 number, since 2×1060066664912 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106006666411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4340565 + ... + 4364918.

It is an arithmetic number, because the mean of its divisors is an integer number (5484454920).

Almost surely, 2106006666491 is an apocalyptic number.

106006666491 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106006666491 is a deficient number, since it is larger than the sum of its proper divisors (69495890949).

106006666491 is a wasteful number, since it uses less digits than its factorization.

106006666491 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705544 (or 8705538 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 106006666491 in words is "one hundred six billion, six million, six hundred sixty-six thousand, four hundred ninety-one".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 1107 1353 4059 12177 8705483 26116449 78349347 95760313 235048041 287280939 356924803 861842817 1070774409 2585528451 3212323227 3926172833 9636969681 11778518499 35335555497 106006666491