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536425909920 = 25325541688573
BaseRepresentation
bin1111100111001010111…
…10011100111010100000
31220021121102222122212100
413303211132130322200
532242100013104140
61050233004530400
753520064000425
oct7634536347240
91807542878770
10536425909920
1119755149478a
1287b67b50a00
133b77a8c2624
141bd6ac67d4c
15de48975530
hex7ce579cea0

536425909920 has 144 divisors (see below), whose sum is σ = 1833939728712. Its totient is φ = 142782289920.

The previous prime is 536425909861. The next prime is 536425909961. The reversal of 536425909920 is 29909524635.

It is a happy number.

536425909920 is a `hidden beast` number, since 5 + 3 + 6 + 42 + 590 + 9 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 461785484304 + 74640425616 = 679548^2 + 273204^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434754 + ... + 1123326.

Almost surely, 2536425909920 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 536425909920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916969864356).

536425909920 is an abundant number, since it is smaller than the sum of its proper divisors (1297513818792).

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

536425909920 is a wasteful number, since it uses less digits than its factorization.

536425909920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689135 (or 689124 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 536425909920 in words is "five hundred thirty-six billion, four hundred twenty-five million, nine hundred nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 541 720 1082 1440 1623 2164 2705 3246 4328 4869 5410 6492 8115 8656 9738 10820 12984 16230 17312 19476 21640 24345 25968 32460 38952 43280 48690 51936 64920 77904 86560 97380 129840 155808 194760 259680 389520 688573 779040 1377146 2065719 2754292 3442865 4131438 5508584 6197157 6885730 8262876 10328595 11017168 12394314 13771460 16525752 20657190 22034336 24788628 27542920 30985785 33051504 41314380 49577256 55085840 61971570 66103008 82628760 99154512 110171680 123943140 165257520 198309024 247886280 330515040 372517993 495772560 745035986 991545120 1117553979 1490071972 1862589965 2235107958 2980143944 3352661937 3725179930 4470215916 5587769895 5960287888 6705323874 7450359860 8940431832 11175539790 11920575776 13410647748 14900719720 16763309685 17880863664 22351079580 26821295496 29801439440 33526619370 35761727328 44702159160 53642590992 59602878880 67053238740 89404318320 107285181984 134106477480 178808636640 268212954960 536425909920