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253323222323352 = 23383127170292331
BaseRepresentation
bin111001100110010101101000…
…101011100001000010011000
31020012221110111220212212210120
4321212111220223201002120
5231200421424403321402
62254435025354313240
7104233666413516126
oct7146255053410230
91205843456785716
10253323222323352
1173797858973685
12244b38a2728820
13ab4737b4a188c
14467aca34a8916
151e447b96ca3bc
hexe66568ae1098

253323222323352 has 32 divisors (see below), whose sum is σ = 640938273353280. Its totient is φ = 83423711768480.

The previous prime is 253323222323351. The next prime is 253323222323377.

253323222323352 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253323222323351) 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, 63585144174 + ... + 63585148157.

It is an arithmetic number, because the mean of its divisors is an integer number (20029321042290).

Almost surely, 2253323222323352 is an apocalyptic number.

It is an amenable number.

253323222323352 is an abundant number, since it is smaller than the sum of its proper divisors (387615051029928).

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

253323222323352 is a wasteful number, since it uses less digits than its factorization.

253323222323352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127170292423 (or 127170292419 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 42.

The spelling of 253323222323352 in words is "two hundred fifty-three trillion, three hundred twenty-three billion, two hundred twenty-two million, three hundred twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 127170292331 254340584662 381510876993 508681169324 763021753986 1017362338648 1526043507972 3052087015944 10555134263473 21110268526946 31665402790419 42220537053892 63330805580838 84441074107784 126661611161676 253323222323352