Search a number
-
+
2035214652700 = 225267577526453
BaseRepresentation
bin11101100111011100001…
…111110001010100011100
321012120020121102120001101
4131213130033301110130
5231321104422341300
64154544213122444
7300016342054015
oct35473417612434
97176217376041
102035214652700
11715147682649
1228a531329424
13119bc60a2888
147070d6b400c
1537e1980db6a
hex1d9dc3f151c

2035214652700 has 72 divisors (see below), whose sum is σ = 4490109319472. Its totient is φ = 800543969280.

The previous prime is 2035214652689. The next prime is 2035214652781. The reversal of 2035214652700 is 72564125302.

It is a self number, because there is not a number n which added to its sum of digits gives 2035214652700.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3602674 + ... + 4129126.

Almost surely, 22035214652700 is an apocalyptic number.

2035214652700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2035214652700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245054659736).

2035214652700 is an abundant number, since it is smaller than the sum of its proper divisors (2454894666772).

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

2035214652700 is a wasteful number, since it uses less digits than its factorization.

2035214652700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527111 (or 527104 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 2035214652700 in words is "two trillion, thirty-five billion, two hundred fourteen million, six hundred fifty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 577 670 1154 1340 1675 2308 2885 3350 5770 6700 11540 14425 28850 38659 57700 77318 154636 193295 386590 526453 773180 966475 1052906 1932950 2105812 2632265 3865900 5264530 10529060 13161325 26322650 35272351 52645300 70544702 141089404 176361755 303763381 352723510 607526762 705447020 881808775 1215053524 1518816905 1763617550 3037633810 3527235100 6075267620 7594084525 15188169050 20352146527 30376338100 40704293054 81408586108 101760732635 203521465270 407042930540 508803663175 1017607326350 2035214652700