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997240250376 = 233341457246403
BaseRepresentation
bin11101000001100000010…
…01101010000000001000
310112100001101110121201000
432200300021222000020
5112314322001003001
62042043103255000
7132022354160526
oct16406011520010
93470041417630
10997240250376
11354a2213a187
121413318aa460
13730685c20b6
14363a3add316
151ae1932ca86
hexe83026a008

997240250376 has 128 divisors (see below), whose sum is σ = 2843896406400. Its totient is φ = 323594818560.

The previous prime is 997240250371. The next prime is 997240250399. The reversal of 997240250376 is 673052042799.

997240250376 is a `hidden beast` number, since 9 + 9 + 7 + 240 + 25 + 0 + 376 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (997240250371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3923991 + ... + 4170393.

It is an arithmetic number, because the mean of its divisors is an integer number (22217940675).

Almost surely, 2997240250376 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 997240250376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421948203200).

997240250376 is an abundant number, since it is smaller than the sum of its proper divisors (1846656156024).

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

997240250376 is a wasteful number, since it uses less digits than its factorization.

997240250376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246916 (or 246906 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 997240250376 in words is "nine hundred ninety-seven billion, two hundred forty million, two hundred fifty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 457 492 738 914 984 1107 1371 1476 1828 2214 2742 2952 3656 4113 4428 5484 8226 8856 10968 12339 16452 18737 24678 32904 37474 49356 56211 74948 98712 112422 149896 168633 224844 246403 337266 449688 492806 505899 674532 739209 985612 1011798 1349064 1478418 1971224 2023596 2217627 2956836 4047192 4435254 5913672 6652881 8870508 10102523 13305762 17741016 20205046 26611524 30307569 40410092 53223048 60615138 80820184 90922707 112606171 121230276 181845414 225212342 242460552 272768121 337818513 363690828 450424684 545536242 675637026 727381656 900849368 1013455539 1091072484 1351274052 2026911078 2182144968 2702548104 3040366617 4053822156 4616853011 6080733234 8107644312 9233706022 12161466468 13850559033 18467412044 24322932936 27701118066 36934824088 41551677099 55402236132 83103354198 110804472264 124655031297 166206708396 249310062594 332413416792 498620125188 997240250376