Search a number
-
+
452152424052 = 2235766453913
BaseRepresentation
bin1101001010001100110…
…00100111011001110100
31121020002021120000100000
412211012120213121310
524402002010032202
6543414351351300
744444521122360
oct6450630473164
91536067500300
10452152424052
1116483628a4aa
1273768b22530
133383a2c2764
1417c547082a0
15bb6520d91c
hex6946627674

452152424052 has 72 divisors (see below), whose sum is σ = 1354596582976. Its totient is φ = 129186404928.

The previous prime is 452152424047. The next prime is 452152424083. The reversal of 452152424052 is 250424251254.

452152424052 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 5 + 242 + 405 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 452152423998 and 452152424016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33220153 + ... + 33233760.

Almost surely, 2452152424052 is an apocalyptic number.

452152424052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

452152424052 is an abundant number, since it is smaller than the sum of its proper divisors (902444158924).

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

452152424052 is a wasteful number, since it uses less digits than its factorization.

452152424052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66453939 (or 66453925 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 452152424052 in words is "four hundred fifty-two billion, one hundred fifty-two million, four hundred twenty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 66453913 132907826 199361739 265815652 398723478 465177391 598085217 797446956 930354782 1196170434 1395532173 1794255651 1860709564 2392340868 2791064346 3588511302 4186596519 5382766953 5582128692 7177022604 8373193038 10765533906 12559789557 16148300859 16746386076 21531067812 25119579114 32296601718 37679368671 50239158228 64593203436 75358737342 113038106013 150717474684 226076212026 452152424052