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2023243664652 = 223278028744701
BaseRepresentation
bin11101011100010010101…
…110000100110100001100
321011102100022220100121200
4131130102232010310030
5231122100334232102
64145244301225500
7266113602252150
oct35342256046414
97142308810550
102023243664652
117100643370a1
12288150262290
13118a38c583b2
146dcd5889060
15379688be51c
hex1d712b84d0c

2023243664652 has 36 divisors (see below), whose sum is σ = 5844926143056. Its totient is φ = 578069618400.

The previous prime is 2023243664641. The next prime is 2023243664657. The reversal of 2023243664652 is 2564663423202.

2023243664652 is a `hidden beast` number, since 2 + 0 + 232 + 4 + 366 + 4 + 6 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×20232436646522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2023243664598 and 2023243664607.

It is not an unprimeable number, because it can be changed into a prime (2023243664657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4014372099 + ... + 4014372602.

Almost surely, 22023243664652 is an apocalyptic number.

It is an amenable number.

2023243664652 is an abundant number, since it is smaller than the sum of its proper divisors (3821682478404).

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

2023243664652 is a wasteful number, since it uses less digits than its factorization.

2023243664652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028744718 (or 8028744713 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 2023243664652 in words is "two trillion, twenty-three billion, two hundred forty-three million, six hundred sixty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 8028744701 16057489402 24086234103 32114978804 48172468206 56201212907 72258702309 96344936412 112402425814 144517404618 168603638721 224804851628 289034809236 337207277442 505810916163 674414554884 1011621832326 2023243664652