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290612521242 = 232377149112517
BaseRepresentation
bin1000011101010011101…
…10110010100100011010
31000210010021201200210200
410032221312302210122
514230133301134432
6341301110523030
726665435446531
oct4165166624432
91023107650720
10290612521242
1110228021259a
12483a5666476
1321535002354
14100cc4a5318
15785d493a7c
hex43a9db291a

290612521242 has 96 divisors (see below), whose sum is σ = 657174570624. Its totient is φ = 92728540800.

The previous prime is 290612521237. The next prime is 290612521259. The reversal of 290612521242 is 242125216092.

290612521242 is a `hidden beast` number, since 2 + 90 + 6 + 1 + 2 + 521 + 2 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 290612521197 and 290612521206.

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 47 ways as a sum of consecutive naturals, for example, 23211168 + ... + 23223684.

It is an arithmetic number, because the mean of its divisors is an integer number (6845568444).

Almost surely, 2290612521242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290612521242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328587285312).

290612521242 is an abundant number, since it is smaller than the sum of its proper divisors (366562049382).

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

290612521242 is a wasteful number, since it uses less digits than its factorization.

290612521242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13124 (or 13121 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 290612521242 in words is "two hundred ninety billion, six hundred twelve million, five hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 37 71 74 111 142 213 222 333 426 491 639 666 982 1278 1473 2627 2946 4419 5254 7881 8838 12517 15762 18167 23643 25034 34861 36334 37551 47286 54501 69722 75102 104583 109002 112653 163503 209166 225306 313749 327006 463129 627498 888707 926258 1289857 1389387 1777414 2579714 2666121 2778774 3869571 4168161 5332242 6145847 7739142 7998363 8336322 11608713 12291694 15996726 18437541 23217426 32882159 36875082 55312623 65764318 98646477 110625246 197292954 227396339 295939431 436355137 454792678 591878862 682189017 872710274 1309065411 1364378034 2046567051 2618130822 3927196233 4093134102 7854392466 16145140069 32290280138 48435420207 96870840414 145306260621 290612521242