Search a number
-
+
35144545500 = 2232537809899
BaseRepresentation
bin100000101110110001…
…110011010011011100
310100201021122220002100
4200232301303103130
51033434000424000
624051205325100
72352625464531
oct405661632334
9110637586070
1035144545500
11139a51a8229
126989a06790
133411162c6c
1419b57b4d88
15daa5d3a00
hex82ec734dc

35144545500 has 72 divisors (see below), whose sum is σ = 110869340400. Its totient is φ = 9371877600.

The previous prime is 35144545481. The next prime is 35144545547. The reversal of 35144545500 is 554544153.

35144545500 is a `hidden beast` number, since 3 + 5 + 144 + 5 + 4 + 5 + 500 = 666.

35144545500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3900450 + ... + 3909449.

It is an arithmetic number, because the mean of its divisors is an integer number (1539851950).

Almost surely, 235144545500 is an apocalyptic number.

35144545500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35144545500 is an abundant number, since it is smaller than the sum of its proper divisors (75724794900).

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

35144545500 is a wasteful number, since it uses less digits than its factorization.

35144545500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7809924 (or 7809909 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

It can be divided in two parts, 35144 and 545500, that added together give a square (580644 = 7622).

The spelling of 35144545500 in words is "thirty-five billion, one hundred forty-four million, five hundred forty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4500 7809899 15619798 23429697 31239596 39049495 46859394 70289091 78098990 93718788 117148485 140578182 156197980 195247475 234296970 281156364 351445455 390494950 468593940 585742425 702890910 780989900 976237375 1171484850 1405781820 1757227275 1952474750 2342969700 2928712125 3514454550 3904949500 5857424250 7028909100 8786136375 11714848500 17572272750 35144545500