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10142687380 = 2257253195277
BaseRepresentation
bin10010111001000110…
…10010000010010100
3222011212020220102011
421130203102002110
5131233011444010
64354240554004
7506226264100
oct113443220224
928155226364
1010142687380
114335312171
121b70922904
13c58428a87
146c30a6900
153e5695a8a
hex25c8d2094

10142687380 has 72 divisors (see below), whose sum is σ = 25244758728. Its totient is φ = 3411862272.

The previous prime is 10142687377. The next prime is 10142687381. The reversal of 10142687380 is 8378624101.

It can be written as a sum of positive squares in 4 ways, for example, as 3107839504 + 7034847876 = 55748^2 + 83874^2 .

It is a super-2 number, since 2×101426873802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142687381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45699 + ... + 149578.

It is an arithmetic number, because the mean of its divisors is an integer number (350621649).

Almost surely, 210142687380 is an apocalyptic number.

10142687380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142687380 is an abundant number, since it is smaller than the sum of its proper divisors (15102071348).

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

10142687380 is a wasteful number, since it uses less digits than its factorization.

10142687380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195353 (or 195344 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 10142687380 in words is "ten billion, one hundred forty-two million, six hundred eighty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1060 1484 1855 2597 3710 5194 7420 10388 12985 25970 51940 195277 390554 781108 976385 1366939 1952770 2733878 3905540 5467756 6834695 9568573 10349681 13669390 19137146 20699362 27338780 38274292 41398724 47842865 51748405 72447767 95685730 103496810 144895534 191371460 206993620 289791068 362238835 507134369 724477670 1014268738 1448955340 2028537476 2535671845 5071343690 10142687380