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997601630142 = 2313127550118307
BaseRepresentation
bin11101000010001011011…
…00001101011110111110
310112100222120110121112210
432201011230031132332
5112321042004131032
62042143013041250
7132034332642045
oct16410554153676
93470876417483
10997601630142
11355098127147
12141412926226
13730c5430b90
14363d9acd55c
151ae3ae132cc
hexe845b0d7be

997601630142 has 64 divisors (see below), whose sum is σ = 2166111166464. Its totient is φ = 304465392000.

The previous prime is 997601630101. The next prime is 997601630231. The reversal of 997601630142 is 241036106799.

It is a junction number, because it is equal to n+sod(n) for n = 997601630091 and 997601630100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54483753 + ... + 54502059.

It is an arithmetic number, because the mean of its divisors is an integer number (33845486976).

Almost surely, 2997601630142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997601630142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083055583232).

997601630142 is an abundant number, since it is smaller than the sum of its proper divisors (1168509536322).

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

997601630142 is a wasteful number, since it uses less digits than its factorization.

997601630142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23953.

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 997601630142 in words is "nine hundred ninety-seven billion, six hundred one million, six hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 127 254 381 762 1651 3302 4953 5501 9906 11002 16503 18307 33006 36614 54921 71513 109842 143026 214539 237991 429078 475982 698627 713973 1397254 1427946 2095881 2324989 4191762 4649978 6974967 9082151 13949934 18164302 27246453 30224857 54492906 60449714 90674571 100706807 181349142 201413614 302120421 604240842 1309188491 2618376982 3927565473 7855130946 12789764489 25579528978 38369293467 76738586934 166266938357 332533876714 498800815071 997601630142