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42252722725224 = 23311160048192141
BaseRepresentation
bin10011001101101101110101…
…00001110110000101101000
312112121022122220011111020210
421212312322201312011220
521014232034004201344
6225510344410221120
711620441600214004
oct1146667241660550
9175538586144223
1042252722725224
11125103084a7940
1248a4a3b4247a0
131a7655100011b
14a61085207704
154d4154a86db9
hex266dba876168

42252722725224 has 32 divisors (see below), whose sum is σ = 115234698342240. Its totient is φ = 12803855371200.

The previous prime is 42252722725217. The next prime is 42252722725237.

42252722725224 is nontrivially palindromic in base 10.

42252722725224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80024095807 + ... + 80024096334.

It is an arithmetic number, because the mean of its divisors is an integer number (3601084323195).

Almost surely, 242252722725224 is an apocalyptic number.

42252722725224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42252722725224 is an abundant number, since it is smaller than the sum of its proper divisors (72981975617016).

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

42252722725224 is a wasteful number, since it uses less digits than its factorization.

42252722725224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160048192161 (or 160048192157 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 48.

The spelling of 42252722725224 in words is "forty-two trillion, two hundred fifty-two billion, seven hundred twenty-two million, seven hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 160048192141 320096384282 480144576423 640192768564 960289152846 1280385537128 1760530113551 1920578305692 3521060227102 3841156611384 5281590340653 7042120454204 10563180681306 14084240908408 21126361362612 42252722725224