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1352556125352 = 233267280380623
BaseRepresentation
bin10011101011101010101…
…000001001110010101000
311210022011221222020122100
4103223222220021302220
5134130013332002402
62513204455453400
7166501413241545
oct23535250116250
94708157866570
101352556125352
11481685743033
1219a174387260
139a7125b7a73
144966d579bcc
15252b2dd071c
hex13aeaa09ca8

1352556125352 has 48 divisors (see below), whose sum is σ = 3717847074240. Its totient is φ = 444122905248.

The previous prime is 1352556125341. The next prime is 1352556125353. The reversal of 1352556125352 is 2535216552531.

It is a happy number.

1352556125352 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 55 + 61 + 2 + 535 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1352556125298 and 1352556125307.

It is not an unprimeable number, because it can be changed into a prime (1352556125353) 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, 140185488 + ... + 140195135.

It is an arithmetic number, because the mean of its divisors is an integer number (77455147380).

Almost surely, 21352556125352 is an apocalyptic number.

1352556125352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1352556125352 is an abundant number, since it is smaller than the sum of its proper divisors (2365290948888).

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

1352556125352 is a wasteful number, since it uses less digits than its factorization.

1352556125352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280380702 (or 280380695 counting only the distinct ones).

The product of its digits is 1350000, while the sum is 45.

The spelling of 1352556125352 in words is "one trillion, three hundred fifty-two billion, five hundred fifty-six million, one hundred twenty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 280380623 560761246 841141869 1121522492 1682283738 2243044984 2523425607 3364567476 5046851214 6729134952 10093702428 18785501741 20187404856 37571003482 56356505223 75142006964 112713010446 150284013928 169069515669 225426020892 338139031338 450852041784 676278062676 1352556125352