Search a number
-
+
10506708374110 = 25132311932945473
BaseRepresentation
bin1001100011100100100010…
…0111101101001001011110
31101012102122120102200100021
42120321020213231021132
52334120214320432420
634202414252022354
72133041012431654
oct230711047551136
941172576380307
1010506708374110
113390962a71253
12121832b4619ba
135b2a17053c20
14284755278dd4
151334849877aa
hex98e489ed25e

10506708374110 has 64 divisors (see below), whose sum is σ = 21270186741888. Its totient is φ = 3707618770944.

The previous prime is 10506708374089. The next prime is 10506708374131. The reversal of 10506708374110 is 1147380760501.

10506708374110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10506708374089) and next prime (10506708374131).

It is a super-2 number, since 2×105067083741102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2094334 + ... + 5039806.

It is an arithmetic number, because the mean of its divisors is an integer number (332346667842).

Almost surely, 210506708374110 is an apocalyptic number.

10506708374110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10506708374110 is an abundant number, since it is smaller than the sum of its proper divisors (10763478367778).

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

10506708374110 is a wasteful number, since it uses less digits than its factorization.

10506708374110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946709.

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 10506708374110 in words is "ten trillion, five hundred six billion, seven hundred eight million, three hundred seventy-four thousand, one hundred ten".

Divisors: 1 2 5 10 13 23 26 46 65 115 130 230 299 598 1193 1495 2386 2990 5965 11930 15509 27439 31018 54878 77545 137195 155090 274390 356707 713414 1783535 2945473 3567070 5890946 14727365 29454730 38291149 67745879 76582298 135491758 191455745 338729395 382911490 677458790 880696427 1761392854 3513949289 4403482135 7027898578 8806964270 17569746445 35139492890 45681340757 80820833647 91362681514 161641667294 228406703785 404104168235 456813407570 808208336470 1050670837411 2101341674822 5253354187055 10506708374110