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10068516380 = 22513229591741
BaseRepresentation
bin10010110000010000…
…10101111000011100
3221222200200121221002
421120020111320130
5131110020011010
64343031125432
7504335656106
oct113010257034
927880617832
1010068516380
1142a746241a
121b4bb13878
13c45c59900
146b72ba576
153ddde41a5
hex258215e1c

10068516380 has 144 divisors (see below), whose sum is σ = 24100221600. Its totient is φ = 3526548480.

The previous prime is 10068516379. The next prime is 10068516389. The reversal of 10068516380 is 8361586001.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 5782310 + ... + 5784050.

It is an arithmetic number, because the mean of its divisors is an integer number (167362650).

Almost surely, 210068516380 is an apocalyptic number.

10068516380 is a gapful number since it is divisible by the number (10) 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 10068516380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12050110800).

10068516380 is an abundant number, since it is smaller than the sum of its proper divisors (14031705220).

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

10068516380 is a wasteful number, since it uses less digits than its factorization.

10068516380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 10068516380 in words is "ten billion, sixty-eight million, five hundred sixteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 59 65 116 118 130 145 169 236 260 290 295 338 377 580 590 676 754 767 845 1180 1508 1534 1690 1711 1741 1885 3068 3380 3422 3482 3770 3835 4901 6844 6964 7540 7670 8555 8705 9802 9971 15340 17110 17410 19604 19942 22243 22633 24505 34220 34820 39884 44486 45266 49010 49855 50489 88972 90532 98020 99710 100978 102719 111215 113165 199420 201956 205438 222430 226330 252445 289159 294229 410876 444860 452660 504890 513595 578318 588458 656357 1009780 1027190 1156636 1176916 1312714 1335347 1445795 1471145 2054380 2625428 2670694 2891590 2942290 2978851 3281785 5341388 5783180 5884580 5957702 6563570 6676735 8532641 11915404 13127140 13353470 14894255 17065282 17359511 26706940 29788510 34130564 34719022 38725063 42663205 59577020 69438044 77450126 85326410 86797555 154900252 170652820 173595110 193625315 347190220 387250630 503425819 774501260 1006851638 2013703276 2517129095 5034258190 10068516380