Search a number
-
+
35396202050160 = 243571931286112503
BaseRepresentation
bin10000000110001010100100…
…00011001011001001110000
311122022211210011212102011020
420003011102003023021300
514114412410211101120
6203140442444415440
710312201612122330
oct1003052203131160
9148284704772136
1035396202050160
1110307499309a96
123b78030547580
131699b03044643
148a52847390c0
15415b0a780640
hex2031520cb270

35396202050160 has 640 divisors, whose sum is σ = 136320600637440. Its totient is φ = 7414306099200.

The previous prime is 35396202050071. The next prime is 35396202050161. The reversal of 35396202050160 is 6105020269353.

It is a happy number.

It is a super-2 number, since 2×353962020501602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35396202050161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2831010469 + ... + 2831022971.

It is an arithmetic number, because the mean of its divisors is an integer number (213000938496).

Almost surely, 235396202050160 is an apocalyptic number.

35396202050160 is a gapful number since it is divisible by the number (30) 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 35396202050160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68160300318720).

35396202050160 is an abundant number, since it is smaller than the sum of its proper divisors (100924398587280).

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

35396202050160 is a wasteful number, since it uses less digits than its factorization.

35396202050160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15437 (or 15431 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 35396202050160 in words is "thirty-five trillion, three hundred ninety-six billion, two hundred two million, fifty thousand, one hundred sixty".