Search a number
-
+
10316668040 = 2357673791451
BaseRepresentation
bin10011001101110101…
…11101110010001000
3222121222122001000022
421212322331302020
5132112031334130
64423414000012
7513441142250
oct114672756210
928558561008
1010316668040
114414543438
121bbb046008
13c854a2c03
146dc234960
15405ab07e5
hex266ebdc88

10316668040 has 128 divisors (see below), whose sum is σ = 27014169600. Its totient is φ = 3472761600.

The previous prime is 10316668039. The next prime is 10316668049. The reversal of 10316668040 is 4086661301.

It is a Cunningham number, because it is equal to 1015712-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (10316668049) 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, 7109315 + ... + 7110765.

It is an arithmetic number, because the mean of its divisors is an integer number (211048200).

Almost surely, 210316668040 is an apocalyptic number.

10316668040 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 10316668040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507084800).

10316668040 is an abundant number, since it is smaller than the sum of its proper divisors (16697501560).

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

10316668040 is a wasteful number, since it uses less digits than its factorization.

10316668040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 10316668040 in words is "ten billion, three hundred sixteen million, six hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 379 469 536 670 758 938 1340 1451 1516 1876 1895 2345 2653 2680 2902 3032 3752 3790 4690 5306 5804 7255 7580 9380 10157 10612 11608 13265 14510 15160 18760 20314 21224 25393 26530 29020 40628 50785 50786 53060 58040 81256 97217 101570 101572 106120 126965 177751 194434 203140 203144 253930 355502 388868 406280 486085 507860 549929 680519 711004 777736 888755 972170 1015720 1099858 1361038 1422008 1777510 1944340 2199716 2722076 2749645 3402595 3555020 3849503 3888680 4399432 5444152 5499290 6805190 7110040 7699006 10998580 13610380 15398012 19247515 21997160 27220760 30796024 36845243 38495030 73690486 76990060 147380972 153980120 184226215 257916701 294761944 368452430 515833402 736904860 1031666804 1289583505 1473809720 2063333608 2579167010 5158334020 10316668040