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107060620032 = 2832139334297
BaseRepresentation
bin110001110110101001…
…1110110101100000000
3101020100020110000002100
41203231103312230000
53223230004320112
6121103304350400
710510030153362
oct1435523665400
9336306400070
10107060620032
1141449a24473
12188ba475400
13a13254b912
145278a7ad32
152bb902a2dc
hex18ed4f6b00

107060620032 has 108 divisors (see below), whose sum is σ = 310903825960. Its totient is φ = 35430027264.

The previous prime is 107060620001. The next prime is 107060620033. The reversal of 107060620032 is 230026060701.

It is a happy number.

107060620032 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 6 + 0 + 620 + 0 + 32 = 666.

It is a super-2 number, since 2×1070606200322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107060619978 and 107060620005.

It is not an unprimeable number, because it can be changed into a prime (107060620033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153108 + ... + 487404.

Almost surely, 2107060620032 is an apocalyptic number.

107060620032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107060620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155451912980).

107060620032 is an abundant number, since it is smaller than the sum of its proper divisors (203843205928).

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

107060620032 is a wasteful number, since it uses less digits than its factorization.

107060620032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334458 (or 334441 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 107060620032 its reverse (230026060701), we get a palindrome (337086680733).

The spelling of 107060620032 in words is "one hundred seven billion, sixty million, six hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 256 278 288 384 417 556 576 768 834 1112 1152 1251 1668 2224 2304 2502 3336 4448 5004 6672 8896 10008 13344 17792 20016 26688 35584 40032 53376 80064 106752 160128 320256 334297 668594 1002891 1337188 2005782 2674376 3008673 4011564 5348752 6017346 8023128 10697504 12034692 16046256 21395008 24069384 32092512 42790016 46467283 48138768 64185024 85580032 92934566 96277536 128370048 139401849 185869132 192555072 256740096 278803698 371738264 385110144 418205547 557607396 743476528 770220288 836411094 1115214792 1486953056 1672822188 2230429584 2973906112 3345644376 4460859168 5947812224 6691288752 8921718336 11895624448 13382577504 17843436672 26765155008 35686873344 53530310016 107060620032