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106274418127663 = 6711314037038453
BaseRepresentation
bin11000001010011111110000…
…111100001111001100101111
3111221021201211220222100022211
4120022133300330033030233
5102412200002020041123
61014005443234351251
731246034103225652
oct3012376074171457
9457251756870284
10106274418127663
1130953800512575
12bb0483b72b527
13473b83337b676
141c359d03b1899
15c4469510740d
hex60a7f0f0f32f

106274418127663 has 8 divisors (see below), whose sum is σ = 108815122095408. Its totient is φ = 103761788237184.

The previous prime is 106274418127601. The next prime is 106274418127697. The reversal of 106274418127663 is 366721814472601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106274418127663 - 221 = 106274416030511 is a prime.

It is a super-2 number, since 2×1062744181276632 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106274418127598 and 106274418127607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106274418127363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7018511656 + ... + 7018526797.

It is an arithmetic number, because the mean of its divisors is an integer number (13601890261926).

Almost surely, 2106274418127663 is an apocalyptic number.

106274418127663 is a deficient number, since it is larger than the sum of its proper divisors (2540703967745).

106274418127663 is a wasteful number, since it uses less digits than its factorization.

106274418127663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14037038633.

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 106274418127663 in words is "one hundred six trillion, two hundred seventy-four billion, four hundred eighteen million, one hundred twenty-seven thousand, six hundred sixty-three".

Divisors: 1 67 113 7571 14037038453 940481576351 1586185345189 106274418127663