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1680276124242 = 234731327107071
BaseRepresentation
bin11000011100111000010…
…000101111001001010010
312221122002022222010020000
4120130320100233021102
5210012201141433432
63323524100430430
7232252544254422
oct30347020571122
95848068863200
101680276124242
11598668081821
122317950a8416
13c25ac319381
145b47bdc2482
152da93e4757c
hex1873842f252

1680276124242 has 80 divisors (see below), whose sum is σ = 3819551188992. Its totient is φ = 551998100160.

The previous prime is 1680276124231. The next prime is 1680276124243. The reversal of 1680276124242 is 2424216720861.

1680276124242 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 2 + 7 + 612 + 4 + 24 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1680276124243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15639567 + ... + 15746637.

Almost surely, 21680276124242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680276124242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909775594496).

1680276124242 is an abundant number, since it is smaller than the sum of its proper divisors (2139275064750).

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

1680276124242 is a wasteful number, since it uses less digits than its factorization.

1680276124242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108485 (or 108476 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1680276124242 in words is "one trillion, six hundred eighty billion, two hundred seventy-six million, one hundred twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 438 657 1314 1327 1971 2654 3942 3981 5913 7962 11826 11943 23886 35829 71658 96871 107071 107487 193742 214142 214974 290613 321213 581226 642426 871839 963639 1743678 1927278 2615517 2890917 5231034 5781834 7816183 7846551 8672751 15632366 15693102 17345502 23448549 46897098 70345647 140691294 142083217 211036941 284166434 422073882 426249651 633110823 852499302 1266221646 1278748953 2557497906 3836246859 7672493718 10372074841 11508740577 20744149682 23017481154 31116224523 62232449046 93348673569 186697347138 280046020707 560092041414 840138062121 1680276124242