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56571742000 = 245337799677
BaseRepresentation
bin110100101011111100…
…000100011100110000
312102000120201020212201
4310223330010130300
51411324331221000
641553320432544
74041620605264
oct645374043460
9172016636781
1056571742000
1121aa0301094
12ab69918754
13544741c267
142a4944c0a4
1517117b796a
hexd2bf04730

56571742000 has 160 divisors (see below), whose sum is σ = 142280536320. Its totient is φ = 21736166400.

The previous prime is 56571741973. The next prime is 56571742009. The reversal of 56571742000 is 24717565.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (56571742009) by changing a digit.

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, 5841162 + ... + 5850838.

It is an arithmetic number, because the mean of its divisors is an integer number (889253352).

Almost surely, 256571742000 is an apocalyptic number.

56571742000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56571742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71140268160).

56571742000 is an abundant number, since it is smaller than the sum of its proper divisors (85708794320).

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

56571742000 is a wasteful number, since it uses less digits than its factorization.

56571742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9816 (or 9800 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The spelling of 56571742000 in words is "fifty-six billion, five hundred seventy-one million, seven hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 79 80 100 125 148 158 185 200 250 296 316 370 395 400 500 592 632 740 790 925 1000 1264 1480 1580 1850 1975 2000 2923 2960 3160 3700 3950 4625 5846 6320 7400 7900 9250 9677 9875 11692 14615 14800 15800 18500 19354 19750 23384 29230 31600 37000 38708 39500 46768 48385 58460 73075 74000 77416 79000 96770 116920 146150 154832 158000 193540 233840 241925 292300 358049 365375 387080 483850 584600 716098 730750 764483 774160 967700 1169200 1209625 1432196 1461500 1528966 1790245 1935400 2419250 2864392 2923000 3057932 3580490 3822415 3870800 4838500 5728784 5846000 6115864 7160980 7644830 8951225 9677000 12231728 14321960 15289660 17902450 19112075 19354000 28285871 28643920 30579320 35804900 38224150 44756125 56571742 61158640 71609800 76448300 89512250 95560375 113143484 141429355 143219600 152896600 179024500 191120750 226286968 282858710 305793200 358049000 382241500 452573936 565717420 707146775 716098000 764483000 1131434840 1414293550 1528966000 2262869680 2828587100 3535733875 5657174200 7071467750 11314348400 14142935500 28285871000 56571742000