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56345553440 = 25511171883207
BaseRepresentation
bin110100011110011101…
…001110101000100000
312101102211002200111122
4310132131032220200
51410343430202230
641515040431412
74033203205361
oct643635165040
9171384080448
1056345553440
11219946612a0
12ab06018568
13540c5c5a87
142a273adb68
1516eb9d8be5
hexd1e74ea20

56345553440 has 96 divisors (see below), whose sum is σ = 153760166784. Its totient is φ = 19284029440.

The previous prime is 56345553421. The next prime is 56345553463. The reversal of 56345553440 is 4435554365.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 56345553391 and 56345553400.

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, 911684 + ... + 971523.

It is an arithmetic number, because the mean of its divisors is an integer number (1601668404).

Almost surely, 256345553440 is an apocalyptic number.

It is an amenable number.

56345553440 is an abundant number, since it is smaller than the sum of its proper divisors (97414613344).

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

56345553440 is a wasteful number, since it uses less digits than its factorization.

56345553440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883250 (or 1883242 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 44.

The spelling of 56345553440 in words is "fifty-six billion, three hundred forty-five million, five hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5984 7480 14960 29920 1883207 3766414 7532828 9416035 15065656 18832070 20715277 30131312 32014519 37664140 41430554 60262624 64029038 75328280 82861108 103576385 128058076 150656560 160072595 165722216 207152770 256116152 301313120 320145190 331444432 352159709 414305540 512232304 640290380 662888864 704319418 828611080 1024464608 1280580760 1408638836 1657222160 1760798545 2561161520 2817277672 3314444320 3521597090 5122323040 5634555344 7043194180 11269110688 14086388360 28172776720 56345553440