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948493344413796 = 2231750032161143003
BaseRepresentation
bin1101011110101001100101000…
…0110111011001100001100100
311121101100002002222201002002220
43113222121100313121201210
51443310103332132220141
613201135454352032340
7403533245165343366
oct32752312067314144
94541302088632086
10948493344413796
1125524584a8297a5
128a468445b326b0
133193270039380c
1412a31473b3ad36
15749c74dd5b766
hex35ea650dd9864

948493344413796 has 96 divisors (see below), whose sum is σ = 2343967844295168. Its totient is φ = 297486377372160.

The previous prime is 948493344413723. The next prime is 948493344413809. The reversal of 948493344413796 is 697314443394849.

948493344413796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 22056424431 + ... + 22056467433.

It is an arithmetic number, because the mean of its divisors is an integer number (24416331711408).

Almost surely, 2948493344413796 is an apocalyptic number.

It is an amenable number.

948493344413796 is an abundant number, since it is smaller than the sum of its proper divisors (1395474499881372).

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

948493344413796 is a wasteful number, since it uses less digits than its factorization.

948493344413796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69641 (or 69639 counting only the distinct ones).

The product of its digits is 6772211712, while the sum is 78.

The spelling of 948493344413796 in words is "nine hundred forty-eight trillion, four hundred ninety-three billion, three hundred forty-four million, four hundred thirteen thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 5003 10006 15009 20012 21611 30018 43003 43222 60036 64833 85051 86006 86444 129009 129666 170102 172012 255153 258018 259332 340204 367387 510306 516036 731051 734774 1020612 1102161 1462102 1469548 2193153 2204322 2924204 4386306 4408644 8772612 108119833 215144009 216239666 324359499 430288018 432479332 645432027 648718998 860576036 929337833 1290864054 1297437996 1838037161 1858675666 2581728108 2788013499 3657448153 3676074322 3717351332 5514111483 5576026998 7314896306 7352148644 10972344459 11028222966 11152053996 14629792612 15798743161 21944688918 22056445932 31597486322 43889377836 47396229483 63194972644 94792458966 189584917932 4649477178499 9298954356998 13948431535497 18597908713996 27896863070994 55793726141988 79041112034483 158082224068966 237123336103449 316164448137932 474246672206898 948493344413796