Search a number
-
+
3648631140220 = 22511411672422183
BaseRepresentation
bin110101000110000011010…
…111001110111101111100
3110220210202101012012221211
4311012003113032331330
5434234344032441340
611432054043534204
7524414323660033
oct65060327167574
913823671165854
103648631140220
111187415182750
124ab16722a364
132060ab762611
14c8847b8371a
1564d98bb35ea
hex351835cef7c

3648631140220 has 96 divisors (see below), whose sum is σ = 8613828873216. Its totient is φ = 1286663078400.

The previous prime is 3648631140173. The next prime is 3648631140221. The reversal of 3648631140220 is 220411368463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648631140221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295249 + ... + 2717431.

It is an arithmetic number, because the mean of its divisors is an integer number (89727384096).

Almost surely, 23648631140220 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 3648631140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306914436608).

3648631140220 is an abundant number, since it is smaller than the sum of its proper divisors (4965197732996).

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

3648631140220 is a wasteful number, since it uses less digits than its factorization.

3648631140220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422411 (or 2422409 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 3648631140220 in words is "three trillion, six hundred forty-eight billion, six hundred thirty-one million, one hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 167 205 220 334 410 451 668 820 835 902 1670 1804 1837 2255 3340 3674 4510 6847 7348 9020 9185 13694 18370 27388 34235 36740 68470 75317 136940 150634 301268 376585 753170 1506340 2422183 4844366 9688732 12110915 24221830 26644013 48443660 53288026 99309503 106576052 133220065 198619006 266440130 397238012 404504561 496547515 532880260 809009122 993095030 1092404533 1618018244 1986190060 2022522805 2184809066 4045045610 4369618132 4449550171 5462022665 8090091220 8899100342 10924045330 16584687001 17798200684 21848090660 22247750855 33169374002 44495501710 66338748004 82923435005 88991003420 165846870010 182431557011 331693740020 364863114022 729726228044 912157785055 1824315570110 3648631140220