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2010221001952 = 2547832194017
BaseRepresentation
bin11101010000001010100…
…000100011110011100000
321010011201202110112202221
4131100022200203303200
5230413413034030302
64135252140320424
7265143102405412
oct35201240436340
97104652415687
102010221001952
11705591392939
12285716b43114
13117741c80317
146d41c1009b2
1537455492937
hex1d40a823ce0

2010221001952 has 72 divisors (see below), whose sum is σ = 4091131842336. Its totient is φ = 971868051456.

The previous prime is 2010221001947. The next prime is 2010221001953. The reversal of 2010221001952 is 2591001220102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010221001953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10264048 + ... + 10458064.

It is an arithmetic number, because the mean of its divisors is an integer number (56821275588).

Almost surely, 22010221001952 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 2010221001952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045565921168).

2010221001952 is an abundant number, since it is smaller than the sum of its proper divisors (2080910840384).

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

2010221001952 is an equidigital number, since it uses as much as digits as its factorization.

2010221001952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194240 (or 194149 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 2010221001952 in words is "two trillion, ten billion, two hundred twenty-one million, one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 47 83 94 166 188 332 376 664 752 1328 1504 2656 3901 6889 7802 13778 15604 27556 31208 55112 62416 110224 124832 194017 220448 323783 388034 647566 776068 1295132 1552136 2590264 3104272 5180528 6208544 9118799 10361056 16103411 18237598 32206822 36475196 64413644 72950392 128827288 145900784 257654576 291801568 515309152 756860317 1336583113 1513720634 2673166226 3027441268 5346332452 6054882536 10692664904 12109765072 21385329808 24219530144 42770659616 62819406311 125638812622 251277625244 502555250488 1005110500976 2010221001952