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10199797410792 = 233111499216111927
BaseRepresentation
bin1001010001101101001101…
…0011010010101111101000
31100010002110102022100011210
42110123103103102233220
52314103141114121132
633405420000553120
72101624326331233
oct224332323225750
940102412270153
1010199797410792
113282789803a20
1211889576227a0
1358cab54c4a12
1427395c35641a
1512a4c06eabcc
hex946d34d2be8

10199797410792 has 128 divisors (see below), whose sum is σ = 27851402880000. Its totient is φ = 3087097574400.

The previous prime is 10199797410769. The next prime is 10199797410793. The reversal of 10199797410792 is 29701479799101.

10199797410792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (10199797410793) 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, 855179533 + ... + 855191459.

It is an arithmetic number, because the mean of its divisors is an integer number (217589085000).

Almost surely, 210199797410792 is an apocalyptic number.

10199797410792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10199797410792 is an abundant number, since it is smaller than the sum of its proper divisors (17651605469208).

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

10199797410792 is a wasteful number, since it uses less digits than its factorization.

10199797410792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15607 (or 15603 counting only the distinct ones).

The product of its (nonzero) digits is 18003384, while the sum is 66.

The spelling of 10199797410792 in words is "ten trillion, one hundred ninety-nine billion, seven hundred ninety-seven million, four hundred ten thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1499 2161 2998 4322 4497 5996 6483 8644 8994 11927 11992 12966 16489 17288 17988 23771 23854 25932 32978 35781 35976 47542 47708 49467 51864 65956 71313 71562 95084 95416 98934 131197 131912 142626 143124 190168 197868 262394 285252 286248 393591 395736 524788 570504 787182 1049576 1574364 3148728 3239339 6478678 9718017 12957356 17878573 19436034 25774247 25914712 35632729 35757146 38872068 51548494 53635719 71265458 71514292 77322741 77744136 103096988 106898187 107271438 142530916 143028584 154645482 196664303 206193976 213796374 214542876 283516717 285061832 309290964 393328606 427592748 429085752 567033434 589992909 618581928 786657212 850550151 855185496 1134066868 1179985818 1573314424 1701100302 2268133736 2359971636 3402200604 4719943272 6804401208 38635596253 77271192506 115906788759 154542385012 231813577518 309084770024 424991558783 463627155036 849983117566 927254310072 1274974676349 1699966235132 2549949352698 3399932470264 5099898705396 10199797410792