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100073700774 = 2337927978387
BaseRepresentation
bin101110100110011011…
…0110111110110100110
3100120022022022201201000
41131030312313312212
53114422331411044
6113550114414130
710141630264365
oct1351466676646
9316268281630
10100073700774
1139493aa4633
121748a591346
13958ab75878
144bb4b677dc
15290a946d69
hex174cdb7da6

100073700774 has 64 divisors (see below), whose sum is σ = 225308390400. Its totient is φ = 32919947424.

The previous prime is 100073700773. The next prime is 100073700827. The reversal of 100073700774 is 477007370001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100073700773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11927809 + ... + 11936195.

It is an arithmetic number, because the mean of its divisors is an integer number (3520443600).

Almost surely, 2100073700774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100073700774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112654195200).

100073700774 is an abundant number, since it is smaller than the sum of its proper divisors (125234689626).

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

100073700774 is a wasteful number, since it uses less digits than its factorization.

100073700774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11274 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The spelling of 100073700774 in words is "one hundred billion, seventy-three million, seven hundred thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 2133 2797 4266 5594 8387 8391 16774 16782 25161 25173 50322 50346 75483 75519 150966 151038 220963 226449 441926 452898 662573 662889 1325146 1325778 1987719 1988667 3975438 3977334 5963157 5966001 11926314 11932002 17889471 23458439 35778942 46916878 70375317 140750634 211125951 422251902 633377853 1266755706 1853216681 3706433362 5559650043 11119300086 16678950129 33357900258 50036850387 100073700774