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1352013542304 = 253127431105193
BaseRepresentation
bin10011101011001010010…
…010010111001110100000
311210020210011000011121220
4103223022102113032200
5134122410431323204
62513034554215040
7166452104331015
oct23531222271640
94706704004556
101352013542304
11481427441397
1219a042724480
139a6570734c9
144961b49b70c
15252804551d9
hex13aca4973a0

1352013542304 has 48 divisors (see below), whose sum is σ = 3549317268672. Its totient is φ = 450635406848.

The previous prime is 1352013542303. The next prime is 1352013542353. The reversal of 1352013542304 is 4032453102531.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1352013542303) 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 7 ways as a sum of consecutive naturals, for example, 670732 + ... + 1775924.

It is an arithmetic number, because the mean of its divisors is an integer number (73944109764).

Almost surely, 21352013542304 is an apocalyptic number.

It is an amenable number.

1352013542304 is an abundant number, since it is smaller than the sum of its proper divisors (2197303726368).

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

1352013542304 is a wasteful number, since it uses less digits than its factorization.

1352013542304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117949 (or 1117941 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 1352013542304 its reverse (4032453102531), we get a palindrome (5384466644835).

The spelling of 1352013542304 in words is "one trillion, three hundred fifty-two billion, thirteen million, five hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 12743 25486 38229 50972 76458 101944 152916 203888 305832 407776 611664 1105193 1223328 2210386 3315579 4420772 6631158 8841544 13262316 17683088 26524632 35366176 53049264 106098528 14083474399 28166948798 42250423197 56333897596 84500846394 112667795192 169001692788 225335590384 338003385576 450671180768 676006771152 1352013542304