Search a number
-
+
505616772112530 = 235137432245377713
BaseRepresentation
bin111001011110110110001010…
…0000110000010000010010010
32110022020111021012020102101220
41302331230110012002002102
51012233011122130100110
64551205045525105510
7211333414650242241
oct16275542406020222
92408214235212356
10505616772112530
11137117961501251
124885bb01b58296
13189185c3108ca0
148cbdda77a4958
153d6c3bc64c370
hex1cbdb14182092

505616772112530 has 128 divisors (see below), whose sum is σ = 1308658857472512. Its totient is φ = 124284868743168.

The previous prime is 505616772112519. The next prime is 505616772112553. The reversal of 505616772112530 is 35211277616505.

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, 6506166954 + ... + 6506244666.

It is an arithmetic number, because the mean of its divisors is an integer number (10223897324004).

Almost surely, 2505616772112530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505616772112530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654329428736256).

505616772112530 is an abundant number, since it is smaller than the sum of its proper divisors (803042085359982).

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

505616772112530 is a wasteful number, since it uses less digits than its factorization.

505616772112530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100932.

The product of its (nonzero) digits is 2646000, while the sum is 51.

The spelling of 505616772112530 in words is "five hundred five trillion, six hundred sixteen billion, seven hundred seventy-two million, one hundred twelve thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 743 1486 2229 3715 4458 7430 9659 11145 19318 22290 22453 28977 44906 48295 57954 67359 77713 96590 112265 134718 144885 155426 224530 233139 289770 291889 336795 388565 466278 583778 673590 777130 875667 1010269 1165695 1459445 1751334 2020538 2331390 2918890 3030807 4378335 5051345 6061614 8756670 10102690 15154035 16682579 30308070 33365158 50047737 57740759 83412895 100095474 115481518 166825790 173222277 216873527 250238685 288703795 346444554 433747054 500477370 577407590 650620581 750629867 866111385 1084367635 1301241162 1501259734 1732222770 1744889989 2168735270 2251889601 3253102905 3489779978 3753149335 4503779202 5234669967 6506205810 7506298670 8724449945 10469339934 11259448005 17448899890 22518896010 22683569857 26173349835 45367139714 52346699670 68050709571 113417849285 136101419142 226835698570 340253547855 680507095710 1296453261827 2592906523654 3889359785481 6482266309135 7778719570962 12964532618270 16853892403751 19446798927405 33707784807502 38893597854810 50561677211253 84269462018755 101123354422506 168538924037510 252808386056265 505616772112530