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32000052000020 = 225131019901123077
BaseRepresentation
bin1110100011010100101111…
…01110110111010100010100
311012022011201122101111001212
413101222113232313110110
513143242101303000040
6152020342042440552
76511633056031646
oct721522756672424
9135264648344055
1032000052000020
11a218167129265
1237099a8803158
1314b17906ac160
147c8b4cad4896
153a75dc628d65
hex1d1a97bb7514

32000052000020 has 96 divisors (see below), whose sum is σ = 73093852119456. Its totient is φ = 11697143040000.

The previous prime is 32000052000013. The next prime is 32000052000053. The reversal of 32000052000020 is 2000025000023.

It can be written as a sum of positive squares in 16 ways, for example, as 388535302276 + 31611516697744 = 623326^2 + 5622412^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32000051999959 and 32000052000004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259938722 + ... + 260061798.

It is an arithmetic number, because the mean of its divisors is an integer number (761394292911).

Almost surely, 232000052000020 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 32000052000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36546926059728).

32000052000020 is an abundant number, since it is smaller than the sum of its proper divisors (41093800119436).

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

32000052000020 is a wasteful number, since it uses less digits than its factorization.

32000052000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133101 (or 133099 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

Adding to 32000052000020 its reverse (2000025000023), we get a palindrome (34000077000043).

It can be divided in two parts, 3200005 and 2000020, that added together give a palindrome (5200025).

The spelling of 32000052000020 in words is "thirty-two trillion, fifty-two million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 9901 13130 19802 26260 39604 49505 99010 123077 128713 198020 246154 257426 492308 514852 615385 643565 1000001 1230770 1287130 1600001 2000002 2461540 2574260 3200002 4000004 5000005 6400004 8000005 10000010 12430777 13000013 16000010 20000020 24861554 26000026 32000020 49723108 52000052 62153885 65000065 124307770 130000130 161600101 248615540 260000260 323200202 646400404 808000505 1218585377 1616001010 2437170754 3232002020 4874341508 6092926885 12185853770 15841609901 24371707540 31683219802 63366439604 79208049505 123077123077 158416099010 246154246154 316832198020 492308492308 615385615385 1230771230770 1600002600001 2461542461540 3200005200002 6400010400004 8000013000005 16000026000010 32000052000020