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2775509352196 = 227212729372
BaseRepresentation
bin101000011000111001001…
…111111011111100000100
3100211100002000111202222221
4220120321033323330010
5330433220343232241
65523015033502124
7404344465143400
oct50307117737404
910740060452887
102775509352196
119800a5743389
12389ab4571944
13171963685369
149849a37a100
154c2e61b15d1
hex286393fbf04

2775509352196 has 81 divisors (see below), whose sum is σ = 5701068048501. Its totient is φ = 1178878349376.

The previous prime is 2775509352193. The next prime is 2775509352197. The reversal of 2775509352196 is 6912539055772.

The square root of 2775509352196 is 1665986.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 146130352900 + 2629378999296 = 382270^2 + 1621536^2 .

It is not an unprimeable number, because it can be changed into a prime (2775509352193) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2962122640 + ... + 2962123576.

Almost surely, 22775509352196 is an apocalyptic number.

2775509352196 is the 1665986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2775509352196

2775509352196 is an abundant number, since it is smaller than the sum of its proper divisors (2925558696305).

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

2775509352196 is an frugal number, since it uses more digits than its factorization.

2775509352196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 35721000, while the sum is 61.

The spelling of 2775509352196 in words is "two trillion, seven hundred seventy-five billion, five hundred nine million, three hundred fifty-two thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 127 196 254 508 889 937 1778 1874 3556 3748 6223 6559 12446 13118 16129 24892 26236 32258 45913 64516 91826 112903 118999 183652 225806 237998 451612 475996 790321 832993 877969 1580642 1665986 1755938 3161284 3331972 3511876 5830951 6145783 11661902 12291566 15112873 23323804 24583132 30225746 43020481 60451492 86040962 105790111 111502063 172081924 211580222 223004126 423160444 446008252 740530777 780514441 1481061554 1561028882 2962123108 3122057764 5463601087 10927202174 14160762001 21854404348 28321524002 56643048004 99125334007 198250668014 396501336028 693877338049 1387754676098 2775509352196