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249798897942 = 231121937489439
BaseRepresentation
bin1110100010100100101…
…1001011000100010110
3212212202220200210221220
43220221023023010112
513043042004213232
6310431145151210
724022151412246
oct3505113130426
9785686623856
10249798897942
1196a36a69300
12404b518b506
131a72c50a0a9
14c139c23b26
15677034342c
hex3a292cb116

249798897942 has 96 divisors (see below), whose sum is σ = 593671142400. Its totient is φ = 69774281280.

The previous prime is 249798897913. The next prime is 249798897989.

249798897942 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265659 + ... + 755097.

It is an arithmetic number, because the mean of its divisors is an integer number (6184074400).

Almost surely, 2249798897942 is an apocalyptic number.

249798897942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 249798897942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296835571200).

249798897942 is an abundant number, since it is smaller than the sum of its proper divisors (343872244458).

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

249798897942 is a wasteful number, since it uses less digits than its factorization.

249798897942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489522 (or 489511 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 78.

The spelling of 249798897942 in words is "two hundred forty-nine billion, seven hundred ninety-eight million, eight hundred ninety-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 121 209 222 242 363 407 418 627 703 726 814 1221 1254 1406 2109 2299 2442 4218 4477 4598 6897 7733 8954 13431 13794 15466 23199 26862 46398 85063 170126 255189 489439 510378 978878 1468317 2936634 5383829 9299341 10767658 16151487 18109243 18598682 27898023 32302974 36218486 54327729 55796046 59222119 102292751 108655458 118444238 177666357 199201673 204585502 306878253 344075617 355332714 398403346 597605019 613756506 688151234 1032226851 1125220261 1195210038 2064453702 2191218403 2250440522 3375660783 3784831787 4382436806 6573655209 6751321566 7569663574 11354495361 13147310418 22708990722 41633149657 83266299314 124899448971 249798897942