Search a number
-
+
10347144470 = 2513475928703
BaseRepresentation
bin10011010001011110…
…01110010100010110
3222201002222101210222
421220233032110112
5132142332110340
64430423114342
7514261163645
oct115057162426
928632871728
1010347144470
11442a769873
1220092a29b2
13c8b8b39c0
147022c935c
154085d08b5
hex268bce516

10347144470 has 64 divisors (see below), whose sum is σ = 20832215040. Its totient is φ = 3675692928.

The previous prime is 10347144463. The next prime is 10347144491. The reversal of 10347144470 is 7444174301.

10347144470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10347144470.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346139 + ... + 374841.

It is an arithmetic number, because the mean of its divisors is an integer number (325503360).

Almost surely, 210347144470 is an apocalyptic number.

10347144470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10347144470 is an abundant number, since it is smaller than the sum of its proper divisors (10485070570).

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

10347144470 is a wasteful number, since it uses less digits than its factorization.

10347144470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28829.

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 10347144470 in words is "ten billion, three hundred forty-seven million, one hundred forty-four thousand, four hundred seventy".

Divisors: 1 2 5 10 13 26 47 59 65 94 118 130 235 295 470 590 611 767 1222 1534 2773 3055 3835 5546 6110 7670 13865 27730 28703 36049 57406 72098 143515 180245 287030 360490 373139 746278 1349041 1693477 1865695 2698082 3386954 3731390 6745205 8467385 13490410 16934770 17537533 22015201 35075066 44030402 79593419 87687665 110076005 159186838 175375330 220152010 397967095 795934190 1034714447 2069428894 5173572235 10347144470