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290212276368 = 24375631534151
BaseRepresentation
bin1000011100100011111…
…11111110100010010000
31000202002101121011001110
410032101333332202100
514223323320320433
6341153252133320
726652505435050
oct4162177764220
91022071534043
10290212276368
1110209529a703
12482b3607240
13214a0106471
1410091279560
157838282963
hex4391ffe890

290212276368 has 80 divisors (see below), whose sum is σ = 858339634176. Its totient is φ = 82770460800.

The previous prime is 290212276351. The next prime is 290212276399. The reversal of 290212276368 is 863672212092.

It is a super-2 number, since 2×2902122763682 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577908 + ... + 956243.

Almost surely, 2290212276368 is an apocalyptic number.

290212276368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

290212276368 is an abundant number, since it is smaller than the sum of its proper divisors (568127357808).

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

290212276368 is a wasteful number, since it uses less digits than its factorization.

290212276368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534732 (or 1534726 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

It can be divided in two parts, 290212 and 276368, that added together give a triangular number (566580 = T1064).

The spelling of 290212276368 in words is "two hundred ninety billion, two hundred twelve million, two hundred seventy-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 563 1126 1689 2252 3378 3941 4504 6756 7882 9008 11823 13512 15764 23646 27024 31528 47292 63056 94584 189168 1534151 3068302 4602453 6136604 9204906 10739057 12273208 18409812 21478114 24546416 32217171 36819624 42956228 64434342 73639248 85912456 128868684 171824912 257737368 515474736 863727013 1727454026 2591181039 3454908052 5182362078 6046089091 6909816104 10364724156 12092178182 13819632208 18138267273 20729448312 24184356364 36276534546 41458896624 48368712728 72553069092 96737425456 145106138184 290212276368