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5711462640 = 2432513610199
BaseRepresentation
bin1010101000110111…
…00000000011110000
3112202001010100211100
411110123200003300
543144113301030
62342424244400
7261351426402
oct52433400360
915661110740
105711462640
112470a76464
121134910700
137003824c0
143c2780b72
15236640360
hex1546e00f0

5711462640 has 120 divisors (see below), whose sum is σ = 20656490400. Its totient is φ = 1405896192.

The previous prime is 5711462633. The next prime is 5711462641. The reversal of 5711462640 is 462641175.

5711462640 is a `hidden beast` number, since 5 + 7 + 1 + 1 + 4 + 6 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 5711462595 and 5711462604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5711462641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295740 + ... + 314459.

It is an arithmetic number, because the mean of its divisors is an integer number (172137420).

Almost surely, 25711462640 is an apocalyptic number.

It is an amenable number.

5711462640 is an abundant number, since it is smaller than the sum of its proper divisors (14945027760).

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

5711462640 is a wasteful number, since it uses less digits than its factorization.

5711462640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610231 (or 610222 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5711462640 is about 75574.2194137657. The cubic root of 5711462640 is about 1787.5126068193.

The spelling of 5711462640 in words is "five billion, seven hundred eleven million, four hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 610199 1220398 1830597 2440796 3050995 3661194 4881592 5491791 6101990 7322388 7932587 9152985 9763184 10983582 12203980 14644776 15865174 18305970 21967164 23797761 24407960 27458955 29289552 31730348 36611940 39662935 43934328 47595522 48815920 54917910 63460696 71393283 73223880 79325870 87868656 95191044 109835820 118988805 126921392 142786566 146447760 158651740 190382088 219671640 237977610 285573132 317303480 356966415 380764176 439343280 475955220 571146264 634606960 713932830 951910440 1142292528 1427865660 1903820880 2855731320 5711462640