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57419839440 = 24335127209317
BaseRepresentation
bin110101011110011111…
…010011011111010000
312111012200120001212000
4311132133103133100
51420043434330230
642213414234000
74101626403465
oct653637233720
9174180501760
1057419839440
1122396003267
12b165955900
135551042572
142ac9d3766c
151760e90b60
hexd5e7d37d0

57419839440 has 160 divisors (see below), whose sum is σ = 199337717760. Its totient is φ = 15191318016.

The previous prime is 57419839349. The next prime is 57419839459. The reversal of 57419839440 is 4493891475.

57419839440 is a `hidden beast` number, since 5 + 7 + 4 + 198 + 3 + 9 + 440 = 666.

It is a super-2 number, since 2×574198394402 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169662 + ... + 378978.

It is an arithmetic number, because the mean of its divisors is an integer number (1245860736).

Almost surely, 257419839440 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 57419839440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99668858880).

57419839440 is an abundant number, since it is smaller than the sum of its proper divisors (141917878320).

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

57419839440 is a wasteful number, since it uses less digits than its factorization.

57419839440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209466 (or 209454 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 57419839440 in words is "fifty-seven billion, four hundred nineteen million, eight hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 127 135 144 180 216 240 254 270 360 381 432 508 540 635 720 762 1016 1080 1143 1270 1524 1905 2032 2160 2286 2540 3048 3429 3810 4572 5080 5715 6096 6858 7620 9144 10160 11430 13716 15240 17145 18288 22860 27432 30480 34290 45720 54864 68580 91440 137160 209317 274320 418634 627951 837268 1046585 1255902 1674536 1883853 2093170 2511804 3139755 3349072 3767706 4186340 5023608 5651559 6279510 7535412 8372680 9419265 10047216 11303118 12559020 15070824 16745360 18838530 22606236 25118040 26583259 28257795 30141648 37677060 45212472 50236080 53166518 56515590 75354120 79749777 90424944 106333036 113031180 132916295 150708240 159499554 212666072 226062360 239249331 265832590 318999108 398748885 425332144 452124720 478498662 531665180 637998216 717747993 797497770 956997324 1063330360 1196246655 1275996432 1435495986 1594995540 1913994648 2126660720 2392493310 2870991972 3189991080 3588739965 3827989296 4784986620 5741983944 6379982160 7177479930 9569973240 11483967888 14354959860 19139946480 28709919720 57419839440