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5354400566460 = 2235118112728131
BaseRepresentation
bin100110111101010101100…
…1001001100110010111100
3200221212122101022021010010
41031322223021030302330
51200211303021111320
615215435550343220
71061562015605211
oct115725311146274
920855571267103
105354400566460
1117848745925a0
12725875abab10
132cabc156366a
1414722383db08
1594430c71ae0
hex4deab24ccbc

5354400566460 has 48 divisors (see below), whose sum is σ = 16355259914112. Its totient is φ = 1298036500800.

The previous prime is 5354400566443. The next prime is 5354400566461. The reversal of 5354400566460 is 646650044535.

It is a super-2 number, since 2×53544005664602 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5354400566461) 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 15 ways as a sum of consecutive naturals, for example, 4056363406 + ... + 4056364725.

It is an arithmetic number, because the mean of its divisors is an integer number (340734581544).

Almost surely, 25354400566460 is an apocalyptic number.

It is an amenable number.

5354400566460 is an abundant number, since it is smaller than the sum of its proper divisors (11000859347652).

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

5354400566460 is a wasteful number, since it uses less digits than its factorization.

5354400566460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112728154 (or 8112728152 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 5354400566460 in words is "five trillion, three hundred fifty-four billion, four hundred million, five hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 8112728131 16225456262 24338184393 32450912524 40563640655 48676368786 81127281310 89240009441 97352737572 121690921965 162254562620 178480018882 243381843930 267720028323 356960037764 446200047205 486763687860 535440056646 892400094410 1070880113292 1338600141615 1784800188820 2677200283230 5354400566460