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2095828992 = 212346317
BaseRepresentation
bin111110011101011…
…1101000000000000
312102001200010220000
41330322331000000
513243013011432
6543544520000
7102636152415
oct17472750000
95361603800
102095828992
1198604a384
124a5a80000
1327528a4ca
1415c4c210c
15c3ee157c
hex7cebd000

2095828992 has 130 divisors (see below), whose sum is σ = 6261839298. Its totient is φ = 698499072.

The previous prime is 2095828981. The next prime is 2095828993. The reversal of 2095828992 is 2998285902.

It can be written as a sum of positive squares in only one way, i.e., 1816805376 + 279023616 = 42624^2 + 16704^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2095828993) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 328618 + ... + 334934.

Almost surely, 22095828992 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 2095828992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130919649).

2095828992 is an abundant number, since it is smaller than the sum of its proper divisors (4166010306).

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

2095828992 is an frugal number, since it uses more digits than its factorization.

2095828992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353 (or 6322 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 2095828992 is about 45780.2249011514. The cubic root of 2095828992 is about 1279.7307767114.

The spelling of 2095828992 in words is "two billion, ninety-five million, eight hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6317 6912 9216 10368 12288 12634 13824 18432 18951 20736 25268 27648 36864 37902 41472 50536 55296 56853 75804 82944 101072 110592 113706 151608 165888 170559 202144 227412 303216 331776 341118 404288 454824 511677 606432 682236 808576 909648 1023354 1212864 1364472 1617152 1819296 2046708 2425728 2728944 3234304 3638592 4093416 4851456 5457888 6468608 7277184 8186832 9702912 10915776 12937216 14554368 16373664 19405824 21831552 25874432 29108736 32747328 38811648 43663104 58217472 65494656 77623296 87326208 116434944 130989312 174652416 232869888 261978624 349304832 523957248 698609664 1047914496 2095828992