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253057241712 = 243114133115963
BaseRepresentation
bin1110101110101101100…
…0110001001001110000
3220012011222211211022210
43223223120301021300
513121230123213322
6312130342532120
724165665030622
oct3535330611160
9805158754283
10253057241712
11983592411a0
1241064437040
131ab2b595a62
14c368878c12
1568b141870c
hex3aeb631270

253057241712 has 80 divisors (see below), whose sum is σ = 713340021888. Its totient is φ = 76664797440.

The previous prime is 253057241711. The next prime is 253057241741. The reversal of 253057241712 is 217142750352.

253057241712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253057241711) 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 15 ways as a sum of consecutive naturals, for example, 2124243 + ... + 2240205.

Almost surely, 2253057241712 is an apocalyptic number.

253057241712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253057241712 is an abundant number, since it is smaller than the sum of its proper divisors (460282780176).

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

253057241712 is a wasteful number, since it uses less digits than its factorization.

253057241712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120118 (or 120112 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 253057241712 in words is "two hundred fifty-three billion, fifty-seven million, two hundred forty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 4133 8266 12399 16532 24798 33064 45463 49596 66128 90926 99192 115963 136389 181852 198384 231926 272778 347889 363704 463852 545556 695778 727408 927704 1091112 1275593 1391556 1855408 2182224 2551186 2783112 3826779 5102372 5566224 7653558 10204744 15307116 20409488 30614232 61228464 479275079 958550158 1437825237 1917100316 2875650474 3834200632 5272025869 5751300948 7668401264 10544051738 11502601896 15816077607 21088103476 23005203792 31632155214 42176206952 63264310428 84352413904 126528620856 253057241712