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57463199712 = 2533383173651
BaseRepresentation
bin110101100001000100…
…101101011111100000
312111022201010222222000
4311201010231133200
51420141034342322
642222003444000
74102664065332
oct654104553740
9174281128860
1057463199712
11224085294a6
12b178386600
13555a014729
142ad19c3452
151764ba83ac
hexd6112d7e0

57463199712 has 96 divisors (see below), whose sum is σ = 168039567360. Its totient is φ = 19104278400.

The previous prime is 57463199707. The next prime is 57463199743. The reversal of 57463199712 is 21799136475.

57463199712 is a `hidden beast` number, since 574 + 63 + 1 + 9 + 9 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×574631997122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244087 + ... + 417737.

It is an arithmetic number, because the mean of its divisors is an integer number (1750412160).

Almost surely, 257463199712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57463199712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84019783680).

57463199712 is an abundant number, since it is smaller than the sum of its proper divisors (110576367648).

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

57463199712 is a wasteful number, since it uses less digits than its factorization.

57463199712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174053 (or 174039 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 57463199712 in words is "fifty-seven billion, four hundred sixty-three million, one hundred ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 383 432 766 864 1149 1532 2298 3064 3447 4596 6128 6894 9192 10341 12256 13788 18384 20682 27576 36768 41364 55152 82728 110304 165456 173651 330912 347302 520953 694604 1041906 1389208 1562859 2083812 2778416 3125718 4167624 4688577 5556832 6251436 8335248 9377154 12502872 16670496 18754308 25005744 37508616 50011488 66508333 75017232 133016666 150034464 199524999 266033332 399049998 532066664 598574997 798099996 1064133328 1197149994 1596199992 1795724991 2128266656 2394299988 3192399984 3591449982 4788599976 6384799968 7182899964 9577199952 14365799928 19154399904 28731599856 57463199712