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10779640320106 = 2721753122082497
BaseRepresentation
bin1001110011011101010010…
…1000011101000001101010
31102011112010200001002111201
42130313110220131001222
52403103200410220411
634532033130514414
72161542351621100
oct234672450350152
942145120032451
1010779640320106
11348668aa32989
1212611bb895a0a
13602692065118
14293a47501c70
1513a60ab1c3c1
hex9cdd4a1d06a

10779640320106 has 48 divisors (see below), whose sum is σ = 20291576157576. Its totient is φ = 4266050740224.

The previous prime is 10779640319971. The next prime is 10779640320107. The reversal of 10779640320106 is 60102304697701.

It can be written as a sum of positive squares in 4 ways, for example, as 10728186202881 + 51454117225 = 3275391^2 + 226835^2 .

It is a super-2 number, since 2×107796403201062 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10779640320107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60952951 + ... + 61129546.

Almost surely, 210779640320106 is an apocalyptic number.

10779640320106 is a deficient number, since it is larger than the sum of its proper divisors (9511935837470).

10779640320106 is a wasteful number, since it uses less digits than its factorization.

10779640320106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122082583 (or 122082576 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 10779640320106 in words is "ten trillion, seven hundred seventy-nine billion, six hundred forty million, three hundred twenty thousand, one hundred six".

Divisors: 1 2 7 14 17 34 49 53 98 106 119 238 371 742 833 901 1666 1802 2597 5194 6307 12614 44149 88298 122082497 244164994 854577479 1709154958 2075402449 4150804898 5982042353 6470372341 11964084706 12940744682 14527817143 29055634286 45292606387 90585212774 101694720001 109996329797 203389440002 219992659594 317048244709 634096489418 769974308579 1539948617158 5389820160053 10779640320106