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5310135135432 = 233273751876881
BaseRepresentation
bin100110101000101110010…
…1101111110110011001000
3200210122101110002101020200
41031101130231332303020
51144000124043313212
615143235320452200
71055434045626351
oct115213455766310
920718343071220
105310135135432
111768019938046
1271918161a060
132c69888a641a
14145024986d28
15931dea836dc
hex4d45cb7ecc8

5310135135432 has 24 divisors (see below), whose sum is σ = 14381615991990. Its totient is φ = 1770045045120.

The previous prime is 5310135135421. The next prime is 5310135135439. The reversal of 5310135135432 is 2345315310135.

5310135135432 is a `hidden beast` number, since 5 + 3 + 101 + 3 + 5 + 1 + 3 + 543 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5268980521476 + 41154613956 = 2295426^2 + 202866^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5310135135439) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 36875938369 + ... + 36875938512.

Almost surely, 25310135135432 is an apocalyptic number.

It is an amenable number.

5310135135432 is an abundant number, since it is smaller than the sum of its proper divisors (9071480856558).

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

5310135135432 is a wasteful number, since it uses less digits than its factorization.

5310135135432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73751876893 (or 73751876886 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 5310135135432 in words is "five trillion, three hundred ten billion, one hundred thirty-five million, one hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73751876881 147503753762 221255630643 295007507524 442511261286 590015015048 663766891929 885022522572 1327533783858 1770045045144 2655067567716 5310135135432