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10315500040 = 23517101914887
BaseRepresentation
bin10011001101101101…
…00000101000001000
3222121220102200211001
421212312200220020
5132111232000130
64423332544344
7513425206066
oct114666405010
928556380731
1010315500040
11441391594a
121bba7820b4
13c851843a1
146dc00d036
1540592e6ca
hex266da0a08

10315500040 has 64 divisors (see below), whose sum is σ = 24600931200. Its totient is φ = 3879410688.

The previous prime is 10315500031. The next prime is 10315500047. The reversal of 10315500040 is 4000551301.

It is a junction number, because it is equal to n+sod(n) for n = 10315499990 and 10315500017.

It is not an unprimeable number, because it can be changed into a prime (10315500047) 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, 685477 + ... + 700363.

It is an arithmetic number, because the mean of its divisors is an integer number (384389550).

Almost surely, 210315500040 is an apocalyptic number.

10315500040 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 10315500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12300465600).

10315500040 is an abundant number, since it is smaller than the sum of its proper divisors (14285431160).

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

10315500040 is a wasteful number, since it uses less digits than its factorization.

10315500040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15934 (or 15930 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The spelling of 10315500040 in words is "ten billion, three hundred fifteen million, five hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1019 2038 4076 5095 8152 10190 14887 17323 20380 29774 34646 40760 59548 69292 74435 86615 119096 138584 148870 173230 253079 297740 346460 506158 595480 692920 1012316 1265395 2024632 2530790 5061580 10123160 15169853 30339706 60679412 75849265 121358824 151698530 257887501 303397060 515775002 606794120 1031550004 1289437505 2063100008 2578875010 5157750020 10315500040