Search a number
-
+
2035837972212 = 223111723311272421
BaseRepresentation
bin11101101000000001011…
…001100010111011110100
321012121212001022110200020
4131220001121202323310
5231323344010102322
64155130121045140
7300040651146042
oct35500131427364
97177761273606
102035837972212
11715437508840
1228a6860267b0
13119c952747a5
147076c3ab392
1537e543d605c
hex1da01662ef4

2035837972212 has 192 divisors, whose sum is σ = 5910227140608. Its totient is φ = 537470208000.

The previous prime is 2035837972193. The next prime is 2035837972213. The reversal of 2035837972212 is 2122797385302.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2035837972213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 963762 + ... + 2236182.

It is an arithmetic number, because the mean of its divisors is an integer number (30782433024).

Almost surely, 22035837972212 is an apocalyptic number.

2035837972212 is a gapful number since it is divisible by the number (22) 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 2035837972212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955113570304).

2035837972212 is an abundant number, since it is smaller than the sum of its proper divisors (3874389168396).

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

2035837972212 is a wasteful number, since it uses less digits than its factorization.

2035837972212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272510 (or 1272508 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 2035837972212 in words is "two trillion, thirty-five billion, eight hundred thirty-seven million, nine hundred seventy-two thousand, two hundred twelve".