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56745155424 = 253898777573
BaseRepresentation
bin110100110110010001…
…100101101101100000
312102110200000120101010
4310312101211231200
51412203224433144
642022433340520
74046124601626
oct646621455540
9172420016333
1056745155424
112207a185171
12abb7a07740
135474328159
142a644ad516
151721b1e5b9
hexd36465b60

56745155424 has 96 divisors (see below), whose sum is σ = 150821364960. Its totient is φ = 18678730752.

The previous prime is 56745155407. The next prime is 56745155431. The reversal of 56745155424 is 42455154765.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7489302 + ... + 7496874.

It is an arithmetic number, because the mean of its divisors is an integer number (1571055885).

Almost surely, 256745155424 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 56745155424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75410682480).

56745155424 is an abundant number, since it is smaller than the sum of its proper divisors (94076209536).

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

56745155424 is a wasteful number, since it uses less digits than its factorization.

56745155424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8552 (or 8544 counting only the distinct ones).

The product of its digits is 3360000, while the sum is 48.

The spelling of 56745155424 in words is "fifty-six billion, seven hundred forty-five million, one hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 877 1068 1424 1754 2136 2631 2848 3508 4272 5262 7016 7573 8544 10524 14032 15146 21048 22719 28064 30292 42096 45438 60584 78053 84192 90876 121168 156106 181752 234159 242336 312212 363504 468318 624424 673997 727008 936636 1248848 1347994 1873272 2021991 2497696 2695988 3746544 4043982 5391976 6641521 7493088 8087964 10783952 13283042 16175928 19924563 21567904 26566084 32351856 39849126 53132168 64703712 79698252 106264336 159396504 212528672 318793008 591095369 637586016 1182190738 1773286107 2364381476 3546572214 4728762952 7093144428 9457525904 14186288856 18915051808 28372577712 56745155424