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513400205055132 = 22321031311056927059
BaseRepresentation
bin111010010111011110100110…
…0110110011001010010011100
32111022210120200000111102110100
41310232331030312121102130
51014243022104443231012
65015524444225341100
7213065640453530553
oct16456751466312234
92438716600442410
10513400205055132
1113964889348a90a
12496b8495a97790
131906157c2c4625
1490ac9b9980d9a
153e54ab69858dc
hex1d2ef4cd9949c

513400205055132 has 72 divisors (see below), whose sum is σ = 1320364015850880. Its totient is φ = 168178233468960.

The previous prime is 513400205055121. The next prime is 513400205055211. The reversal of 513400205055132 is 231550502004315.

513400205055132 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 0 + 0 + 20 + 50 + 551 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527977782 + ... + 528949277.

It is an arithmetic number, because the mean of its divisors is an integer number (18338389109040).

Almost surely, 2513400205055132 is an apocalyptic number.

It is an amenable number.

513400205055132 is an abundant number, since it is smaller than the sum of its proper divisors (806963810795748).

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

513400205055132 is a wasteful number, since it uses less digits than its factorization.

513400205055132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056927303 (or 1056927298 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 513400205055132 its reverse (231550502004315), we get a palindrome (744950707059447).

The spelling of 513400205055132 in words is "five hundred thirteen trillion, four hundred billion, two hundred five million, fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 103 131 206 262 309 393 412 524 618 786 927 1179 1236 1572 1854 2358 3708 4716 13493 26986 40479 53972 80958 121437 161916 242874 485748 1056927059 2113854118 3170781177 4227708236 6341562354 9512343531 12683124708 19024687062 38049374124 108863487077 138457444729 217726974154 276914889458 326590461231 415372334187 435453948308 553829778916 653180922462 830744668374 979771383693 1246117002561 1306361844924 1661489336748 1959542767386 2492234005122 3919085534772 4984468010244 14261116807087 28522233614174 42783350421261 57044467228348 85566700842522 128350051263783 171133401685044 256700102527566 513400205055132