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55785530790 = 233511179104933
BaseRepresentation
bin110011111101000100…
…111010010110100110
312022222210022120212000
4303331010322112212
51403222043441130
641343313310130
74013263121313
oct637504722646
9168883276760
1055785530790
1121727528a60
12a98a565346
135350586622
1429b2c71d0a
1516b7766260
hexcfd13a5a6

55785530790 has 128 divisors (see below), whose sum is σ = 163193356800. Its totient is φ = 13448085120.

The previous prime is 55785530783. The next prime is 55785530819. The reversal of 55785530790 is 9703558755.

55785530790 is a `hidden beast` number, since 557 + 8 + 55 + 30 + 7 + 9 + 0 = 666.

It is a super-2 number, since 2×557855307902 (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479164 + ... + 584096.

It is an arithmetic number, because the mean of its divisors is an integer number (1274948100).

Almost surely, 255785530790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55785530790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81596678400).

55785530790 is an abundant number, since it is smaller than the sum of its proper divisors (107407826010).

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

55785530790 is a wasteful number, since it uses less digits than its factorization.

55785530790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105139 (or 105133 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 54.

The spelling of 55785530790 in words is "fifty-five billion, seven hundred eighty-five million, five hundred thirty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 179 198 270 297 330 358 495 537 594 895 990 1074 1485 1611 1790 1969 2685 2970 3222 3938 4833 5370 5907 8055 9666 9845 11814 16110 17721 19690 24165 29535 35442 48330 53163 59070 88605 104933 106326 177210 209866 265815 314799 524665 531630 629598 944397 1049330 1154263 1573995 1888794 2308526 2833191 3147990 3462789 4721985 5666382 5771315 6925578 9443970 10388367 11542630 14165955 17313945 18783007 20776734 28331910 31165101 34627890 37566014 51941835 56349021 62330202 93915035 103883670 112698042 155825505 169047063 187830070 206613077 281745105 311651010 338094126 413226154 507141189 563490210 619839231 845235315 1014282378 1033065385 1239678462 1690470630 1859517693 2066130770 2535705945 3099196155 3719035386 5071411890 5578553079 6198392310 9297588465 11157106158 18595176930 27892765395 55785530790