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10068516381 = 37113110113921
BaseRepresentation
bin10010110000010000…
…10101111000011101
3221222200200121221010
421120020111320131
5131110020011011
64343031125433
7504335656110
oct113010257035
927880617833
1010068516381
1142a7462420
121b4bb13879
13c45c59901
146b72ba577
153ddde41a6
hex258215e1d

10068516381 has 64 divisors (see below), whose sum is σ = 17449500672. Its totient is φ = 5011200000.

The previous prime is 10068516379. The next prime is 10068516389. The reversal of 10068516381 is 18361586001.

It is not a de Polignac number, because 10068516381 - 21 = 10068516379 is a prime.

It is a super-2 number, since 2×100685163812 (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 (10068516389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 716301 + ... + 730221.

It is an arithmetic number, because the mean of its divisors is an integer number (272648448).

Almost surely, 210068516381 is an apocalyptic number.

10068516381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10068516381 is a deficient number, since it is larger than the sum of its proper divisors (7380984291).

10068516381 is a wasteful number, since it uses less digits than its factorization.

10068516381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14074.

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 10068516381 in words is "ten billion, sixty-eight million, five hundred sixteen thousand, three hundred eighty-one".

Divisors: 1 3 7 11 21 31 33 77 93 101 217 231 303 341 651 707 1023 1111 2121 2387 3131 3333 7161 7777 9393 13921 21917 23331 34441 41763 65751 97447 103323 153131 241087 292341 431551 459393 723261 1071917 1294653 1406021 3020857 3215751 4218063 4747061 9062571 9842147 14241183 15466231 29526441 33229427 43586651 46398693 99688281 108263617 130759953 305106557 324790851 479453161 915319671 1438359483 3356172127 10068516381