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513445634162046 = 232187793151894679
BaseRepresentation
bin111010010111110011110000…
…0101000101011110101111110
32111022221220221001101011112200
41310233213200220223311332
51014244243124321141141
65020001400145012330
7213102136313546445
oct16457474050536576
92438856831334480
10513445634162046
11139666085a91273
12497052540240a6
131906593c098691
1490b0c891cdd5c
153e55d74dd6ab6
hex1d2f9e0a2bd7e

513445634162046 has 24 divisors (see below), whose sum is σ = 1112471471900880. Its totient is φ = 171147632225856.

The previous prime is 513445634162023. The next prime is 513445634162089. The reversal of 513445634162046 is 640261436544315.

513445634162046 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 4 + 5 + 6 + 3 + 4 + 1 + 620 + 4 + 6 = 666.

It is a super-2 number, since 2×5134456341620462 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513445634161983 and 513445634162001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72567066 + ... + 79327613.

It is an arithmetic number, because the mean of its divisors is an integer number (46352977995870).

Almost surely, 2513445634162046 is an apocalyptic number.

513445634162046 is an abundant number, since it is smaller than the sum of its proper divisors (599025837738834).

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

513445634162046 is a wasteful number, since it uses less digits than its factorization.

513445634162046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152082480 (or 152082477 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 513445634162046 in words is "five hundred thirteen trillion, four hundred forty-five billion, six hundred thirty-four million, one hundred sixty-two thousand, forty-six".

Divisors: 1 2 3 6 9 18 187793 375586 563379 1126758 1690137 3380274 151894679 303789358 455684037 911368074 1367052111 2734104222 28524757453447 57049514906894 85574272360341 171148544720682 256722817081023 513445634162046