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1353310467745 = 55912736121993
BaseRepresentation
bin10011101100010111100…
…101101111011010100001
311210101010112101210212111
4103230113211233122201
5134133034434431440
62513411403555321
7166526203114525
oct23542745573241
94711115353774
101353310467745
11481a325296a5
1219a344b2bb41
139a802972c02
144970181bd85
15253092394ea
hex13b1796f6a1

1353310467745 has 16 divisors (see below), whose sum is σ = 1664501483520. Its totient is φ = 1055918070144.

The previous prime is 1353310467731. The next prime is 1353310467763. The reversal of 1353310467745 is 5477640133531.

It is a cyclic number.

It is not a de Polignac number, because 1353310467745 - 27 = 1353310467617 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 18023532 + ... + 18098461.

It is an arithmetic number, because the mean of its divisors is an integer number (104031342720).

Almost surely, 21353310467745 is an apocalyptic number.

It is an amenable number.

1353310467745 is a deficient number, since it is larger than the sum of its proper divisors (311191015775).

1353310467745 is a wasteful number, since it uses less digits than its factorization.

1353310467745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36122184.

The product of its (nonzero) digits is 3175200, while the sum is 49.

The spelling of 1353310467745 in words is "one trillion, three hundred fifty-three billion, three hundred ten million, four hundred sixty-seven thousand, seven hundred forty-five".

Divisors: 1 5 59 127 295 635 7493 37465 36121993 180609965 2131197587 4587493111 10655987935 22937465555 270662093549 1353310467745