Search a number
-
+
10076107368 = 23361109233271
BaseRepresentation
bin10010110001001010…
…10011001001101000
3222000012222021210210
421120211103021220
5131113440413433
64343501541120
7504460333215
oct113045231150
928005867723
1010076107368
114300777668
121b525747a0
13c476b6b12
146b82d4b0c
153de8e3463
hex258953268

10076107368 has 128 divisors (see below), whose sum is σ = 26044761600. Its totient is φ = 3247257600.

The previous prime is 10076107367. The next prime is 10076107369. The reversal of 10076107368 is 86370167001.

It is an interprime number because it is at equal distance from previous prime (10076107367) and next prime (10076107369).

It is not an unprimeable number, because it can be changed into a prime (10076107367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37181073 + ... + 37181343.

It is an arithmetic number, because the mean of its divisors is an integer number (203474700).

Almost surely, 210076107368 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 10076107368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13022380800).

10076107368 is an abundant number, since it is smaller than the sum of its proper divisors (15968654232).

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

10076107368 is a wasteful number, since it uses less digits than its factorization.

10076107368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 10076107368 in words is "ten billion, seventy-six million, one hundred seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 61 109 122 183 218 233 244 271 327 366 436 466 488 542 654 699 732 813 872 932 1084 1308 1398 1464 1626 1864 2168 2616 2796 3252 5592 6504 6649 13298 14213 16531 19947 25397 26596 28426 29539 33062 39894 42639 49593 50794 53192 56852 59078 63143 66124 76191 79788 85278 88617 99186 101588 113704 118156 126286 132248 152382 159576 170556 177234 189429 198372 203176 236312 252572 304764 341112 354468 378858 396744 505144 609528 708936 757716 1515432 1549217 1801879 3098434 3603758 3851723 4647651 5405637 6196868 6882587 7207516 7703446 9295302 10811274 11555169 12393736 13765174 14415032 15406892 18590604 20647761 21622548 23110338 27530348 30813784 37181208 41295522 43245096 46220676 55060696 82591044 92441352 165182088 419837807 839675614 1259513421 1679351228 2519026842 3358702456 5038053684 10076107368