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55933904604408 = 233311271715934499
BaseRepresentation
bin11001011011111001000001…
…00000111100110011111000
321100001020011222112211110120
430231330200200330303320
524312410114034320113
6314543403034413240
714532043204352055
oct1455744040746370
9240036158484416
1055933904604408
1116905487a56566
126334447591220
13252971056902c
14db53031c202c
1566ee811b6a23
hex32df2083ccf8

55933904604408 has 128 divisors (see below), whose sum is σ = 145494835200000. Its totient is φ = 17899560524160.

The previous prime is 55933904604367. The next prime is 55933904604433. The reversal of 55933904604408 is 80440640933955.

55933904604408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1621302343 + ... + 1621336841.

It is an arithmetic number, because the mean of its divisors is an integer number (1136678400000).

Almost surely, 255933904604408 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 55933904604408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72747417600000).

55933904604408 is an abundant number, since it is smaller than the sum of its proper divisors (89560930595592).

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

55933904604408 is a wasteful number, since it uses less digits than its factorization.

55933904604408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51825 (or 51821 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 60.

The spelling of 55933904604408 in words is "fifty-five trillion, nine hundred thirty-three billion, nine hundred four million, six hundred four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 127 186 248 254 372 381 508 744 762 1016 1524 3048 3937 7874 11811 15748 17159 23622 31496 34318 34499 47244 51477 68636 68998 94488 102954 103497 137272 137996 205908 206994 275992 411816 413988 531929 827976 1063858 1069469 1595787 2127716 2138938 2179193 3191574 3208407 4255432 4277876 4358386 4381373 6383148 6416814 6537579 8555752 8716772 8762746 12766296 12833628 13075158 13144119 17433544 17525492 25667256 26150316 26288238 35050984 52300632 52576476 67554983 105152952 135109966 135822563 202664949 270219932 271645126 405329898 407467689 540439864 543290252 591968341 810659796 814935378 1086580504 1183936682 1621319592 1629870756 1775905023 2367873364 3259741512 3551810046 4735746728 7103620092 14207240184 18351018571 36702037142 55053055713 73404074284 75179979307 110106111426 146808148568 150359958614 220212222852 225539937921 300719917228 440424445704 451079875842 601439834456 902159751684 1804319503368 2330579358517 4661158717034 6991738075551 9322317434068 13983476151102 18644634868136 27966952302204 55933904604408