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9142797974436 = 223272719932
BaseRepresentation
bin1000010100001011100100…
…1110011011101110100100
31012101001011022101112110100
42011002321032123232210
52144243422240140221
631240050550424100
71632355025345400
oct205027116335644
935331138345410
109142797974436
112a05491116935
121037b28662030
1351421531cc59
14238729b6c100
1510cc59d87926
hex850b939bba4

9142797974436 has 81 divisors (see below), whose sum is σ = 26884553191041. Its totient is φ = 2612191708224.

The previous prime is 9142797974423. The next prime is 9142797974461. The reversal of 9142797974436 is 6344797972419.

The square root of 9142797974436 is 3023706.

It is a perfect power (a square), and thus also a powerful number.

9142797974436 is a `hidden beast` number, since 9 + 1 + 4 + 2 + 7 + 97 + 97 + 443 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9057150440100 + 85647534336 = 3009510^2 + 292656^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 126959656 + ... + 127031648.

Almost surely, 29142797974436 is an apocalyptic number.

9142797974436 is the 3023706-th square number.

It is an amenable number.

9142797974436 is an abundant number, since it is smaller than the sum of its proper divisors (17741755216605).

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

9142797974436 is an frugal number, since it uses more digits than its factorization.

9142797974436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144010 (or 72005 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 9142797974436 in words is "nine trillion, one hundred forty-two billion, seven hundred ninety-seven million, nine hundred seventy-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 71993 143986 215979 287972 431958 503951 647937 863916 1007902 1295874 1511853 2015804 2591748 3023706 3527657 4535559 6047412 7055314 9071118 10582971 14110628 18142236 21165942 31748913 42331884 63497826 126995652 5182992049 10365984098 15548976147 20731968196 31097952294 36280944343 46646928441 62195904588 72561888686 93293856882 108842833029 145123777372 186587713764 217685666058 253966610401 326528499087 435371332116 507933220802 653056998174 761899831203 1015866441604 1306113996348 1523799662406 2285699493609 3047599324812 4571398987218 9142797974436