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10000091816 = 23111335324763
BaseRepresentation
bin10010101000000110…
…10100101010101000
3221210220221022001222
421110003110222220
5130440010414231
64332144401212
7502545243431
oct112403245250
927726838058
1010000091816
114271877aa0
121b31016208
13c34a201c0
146ac188488
153d7dca27b
hex2540d4aa8

10000091816 has 64 divisors (see below), whose sum is σ = 22091469120. Its totient is φ = 4183787520.

The previous prime is 10000091743. The next prime is 10000091819. The reversal of 10000091816 is 61819000001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (10000091819) 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 15 ways as a sum of consecutive naturals, for example, 391451 + ... + 416213.

It is an arithmetic number, because the mean of its divisors is an integer number (345179205).

Almost surely, 210000091816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000091816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11045734560).

10000091816 is an abundant number, since it is smaller than the sum of its proper divisors (12091377304).

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

10000091816 is a wasteful number, since it uses less digits than its factorization.

10000091816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25146 (or 25142 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

Adding to 10000091816 its reverse (61819000001), we get a palindrome (71819091817).

The spelling of 10000091816 in words is "ten billion, ninety-one thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 353 572 706 1144 1412 2824 3883 4589 7766 9178 15532 18356 24763 31064 36712 49526 50479 99052 100958 198104 201916 272393 321919 403832 544786 643838 1089572 1287676 2179144 2575352 3541109 7082218 8741339 14164436 17482678 28328872 34965356 69930712 96154729 113637407 192309458 227274814 384618916 454549628 769237832 909099256 1250011477 2500022954 5000045908 10000091816