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1052256016392 = 233741391513271
BaseRepresentation
bin11110100111111110101…
…10001001100000001000
310201121001112100002210120
433103333112021200020
5114220010020011032
62123222202143240
7136010612364030
oct17237726114010
93647045302716
101052256016392
113762940a84a9
1214bb264b1b20
13782c55508b9
1438d026368c0
151c5891e062c
hexf4ff589808

1052256016392 has 64 divisors (see below), whose sum is σ = 3007174118400. Its totient is φ = 300571740480.

The previous prime is 1052256016391. The next prime is 1052256016411. The reversal of 1052256016392 is 2936106522501.

It is a happy number.

1052256016392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10522560163923 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1052256016391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61284 + ... + 1451987.

It is an arithmetic number, because the mean of its divisors is an integer number (46987095600).

Almost surely, 21052256016392 is an apocalyptic number.

1052256016392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1052256016392 is an abundant number, since it is smaller than the sum of its proper divisors (1954918102008).

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

1052256016392 is a wasteful number, since it uses less digits than its factorization.

1052256016392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517426 (or 1517422 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 1052256016392 in words is "one trillion, fifty-two billion, two hundred fifty-six million, sixteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 4139 8278 12417 16556 24834 28973 33112 49668 57946 86919 99336 115892 173838 231784 347676 695352 1513271 3026542 4539813 6053084 9079626 10592897 12106168 18159252 21185794 31778691 36318504 42371588 63557382 84743176 127114764 254229528 6263428669 12526857338 18790286007 25053714676 37580572014 43844000683 50107429352 75161144028 87688001366 131532002049 150322288056 175376002732 263064004098 350752005464 526128008196 1052256016392