Search a number
-
+
535342150441350 = 2325272950871152023
BaseRepresentation
bin111100110111001000000111…
…0101101011101100110000110
32121012111012122220210211112100
41321232100032231131212012
51030132021211003110400
65134324442212532530
7220522123355153010
oct17156201655354606
92535435586724470
10535342150441350
1114563837064607a
1250060a8b021146
1319c93718447445
14962a9ac3191b0
1541d5727c6c100
hex1e6e40eb5d986

535342150441350 has 288 divisors, whose sum is σ = 1700772292177920. Its totient is φ = 118121147262720.

The previous prime is 535342150441339. The next prime is 535342150441411. The reversal of 535342150441350 is 53144051243535.

535342150441350 is a `hidden beast` number, since 5 + 3 + 5 + 3 + 4 + 2 + 1 + 504 + 4 + 135 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 535342150441296 and 535342150441305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 464121439 + ... + 465273461.

It is an arithmetic number, because the mean of its divisors is an integer number (5905459347840).

Almost surely, 2535342150441350 is an apocalyptic number.

535342150441350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 535342150441350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850386146088960).

535342150441350 is an abundant number, since it is smaller than the sum of its proper divisors (1165430141736570).

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

535342150441350 is a wasteful number, since it uses less digits than its factorization.

535342150441350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157164 (or 1157156 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 535342150441350 in words is "five hundred thirty-five trillion, three hundred forty-two billion, one hundred fifty million, four hundred forty-one thousand, three hundred fifty".