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10700106774 = 237241887681
BaseRepresentation
bin10011111011100011…
…01010110000010110
31000121201010202001220
421331301222300112
5133403211404044
64525432231210
7526105256400
oct117561526026
930551122056
1010700106774
1145a0a27655
1220a753b506
131016a66336
14737127b70
154295a2019
hex27dc6ac16

10700106774 has 48 divisors (see below), whose sum is σ = 25501328496. Its totient is φ = 2982604800.

The previous prime is 10700106757. The next prime is 10700106797. The reversal of 10700106774 is 47760100701.

It is a super-2 number, since 2×107001067742 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431787 + ... + 455894.

It is an arithmetic number, because the mean of its divisors is an integer number (531277677).

Almost surely, 210700106774 is an apocalyptic number.

10700106774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10700106774 is an abundant number, since it is smaller than the sum of its proper divisors (14801221722).

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

10700106774 is a wasteful number, since it uses less digits than its factorization.

10700106774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887741 (or 887734 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The spelling of 10700106774 in words is "ten billion, seven hundred million, one hundred six thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 574 861 1722 2009 4018 6027 12054 887681 1775362 2663043 5326086 6213767 12427534 18641301 36394921 37282602 43496369 72789842 86992738 109184763 130489107 218369526 254764447 260978214 509528894 764293341 1528586682 1783351129 3566702258 5350053387 10700106774