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55549792440 = 23335318716139
BaseRepresentation
bin110011101111000001…
…101001000010111000
312022101100201211122000
4303233001221002320
51402231221324230
641304052501000
74004401305432
oct635701510270
9168340654560
1055549792440
112161645627a
12a92361a760
13531379848c
14298d829652
1516a1becb60
hexcef0690b8

55549792440 has 128 divisors (see below), whose sum is σ = 185235552000. Its totient is φ = 14807712384.

The previous prime is 55549792421. The next prime is 55549792457. The reversal of 55549792440 is 4429794555.

It is a happy number.

55549792440 is a `hidden beast` number, since 5 + 5 + 549 + 7 + 92 + 4 + 4 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 3433891 + ... + 3450029.

It is an arithmetic number, because the mean of its divisors is an integer number (1447152750).

Almost surely, 255549792440 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 55549792440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92617776000).

55549792440 is an abundant number, since it is smaller than the sum of its proper divisors (129685759560).

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

55549792440 is a wasteful number, since it uses less digits than its factorization.

55549792440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19346 (or 19336 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 55549792440 in words is "fifty-five billion, five hundred forty-nine million, seven hundred ninety-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 3187 6374 9561 12748 15935 16139 19122 25496 28683 31870 32278 38244 47805 48417 57366 63740 64556 76488 80695 86049 95610 96834 114732 127480 129112 143415 145251 161390 172098 191220 193668 229464 242085 286830 290502 322780 344196 382440 387336 430245 435753 484170 573660 581004 645560 688392 726255 860490 871506 968340 1147320 1162008 1452510 1720980 1743012 1936680 2178765 2905020 3441960 3486024 4357530 5810040 8715060 17430120 51434993 102869986 154304979 205739972 257174965 308609958 411479944 462914937 514349930 617219916 771524895 925829874 1028699860 1234439832 1388744811 1543049790 1851659748 2057399720 2314574685 2777489622 3086099580 3703319496 4629149370 5554979244 6172199160 6943724055 9258298740 11109958488 13887448110 18516597480 27774896220 55549792440