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42203184672 = 2531139965137
BaseRepresentation
bin100111010011100000…
…010111111000100000
311000221012201220200210
4213103200113320200
51142413003402142
631215440414120
73022556102505
oct472340277040
9130835656623
1042203184672
1116997663320
128219917340
133c9765a62c
1420850374ac
15117013249c
hex9d3817e20

42203184672 has 48 divisors (see below), whose sum is σ = 120854577312. Its totient is φ = 12788843520.

The previous prime is 42203184557. The next prime is 42203184677. The reversal of 42203184672 is 27648130224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×422031846722 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42203184672.

It is not an unprimeable number, because it can be changed into a prime (42203184677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19981513 + ... + 19983624.

It is an arithmetic number, because the mean of its divisors is an integer number (2517803694).

Almost surely, 242203184672 is an apocalyptic number.

It is an amenable number.

42203184672 is an abundant number, since it is smaller than the sum of its proper divisors (78651392640).

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

42203184672 is a wasteful number, since it uses less digits than its factorization.

42203184672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39965161 (or 39965153 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 42203184672 in words is "forty-two billion, two hundred three million, one hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 39965137 79930274 119895411 159860548 239790822 319721096 439616507 479581644 639442192 879233014 959163288 1278884384 1318849521 1758466028 1918326576 2637699042 3516932056 3836653152 5275398084 7033864112 10550796168 14067728224 21101592336 42203184672