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2914840890 = 23651330757
BaseRepresentation
bin1010110110111100…
…1111000100111010
321112010210021000000
42231233033010322
521432144402030
61201123053430
7132142511253
oct25557170472
97463707000
102914840890
111266396115
12694211276
13375b68b30
141d9199b2a
15120d71860
hexadbcf13a

2914840890 has 112 divisors (see below), whose sum is σ = 8471860488. Its totient is φ = 717475968.

The previous prime is 2914840889. The next prime is 2914840909. The reversal of 2914840890 is 980484192.

2914840890 is a `hidden beast` number, since 2 + 91 + 484 + 0 + 89 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1699830441 + 1215010449 = 41229^2 + 34857^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 79392 + ... + 110148.

Almost surely, 22914840890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2914840890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235930244).

2914840890 is an abundant number, since it is smaller than the sum of its proper divisors (5557019598).

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

2914840890 is a wasteful number, since it uses less digits than its factorization.

2914840890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30795 (or 30780 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2914840890 is about 53989.2664332458. The cubic root of 2914840890 is about 1428.4716241085.

The spelling of 2914840890 in words is "two billion, nine hundred fourteen million, eight hundred forty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 729 810 1053 1170 1215 1458 1755 2106 2430 3159 3510 3645 5265 6318 7290 9477 10530 15795 18954 30757 31590 47385 61514 92271 94770 153785 184542 276813 307570 399841 461355 553626 799682 830439 922710 1199523 1384065 1660878 1999205 2399046 2491317 2768130 3598569 3998410 4152195 4982634 5997615 7197138 7473951 8304390 10795707 11995230 12456585 14947902 17992845 21591414 22421853 24913170 32387121 35985690 37369755 44843706 53978535 64774242 74739510 97161363 107957070 112109265 161935605 194322726 224218530 291484089 323871210 485806815 582968178 971613630 1457420445 2914840890