Search a number
-
+
352281349152 = 2533407733043
BaseRepresentation
bin1010010000001011001…
…10101100110000100000
31020200022002111202002000
411020011212230300200
521232433011133102
6425500311524000
734310601026655
oct5100546546040
91220262452060
10352281349152
11126446701777
1258336389600
13272b2413475
141309c847c2c
15926c48e01c
hex52059acc20

352281349152 has 48 divisors (see below), whose sum is σ = 1027487270880. Its totient is φ = 117427116096.

The previous prime is 352281349139. The next prime is 352281349207. The reversal of 352281349152 is 251943182253.

352281349152 is a `hidden beast` number, since 3 + 522 + 8 + 1 + 34 + 91 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3522813491522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 352281349098 and 352281349107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203865658 + ... + 203867385.

It is an arithmetic number, because the mean of its divisors is an integer number (21405984810).

Almost surely, 2352281349152 is an apocalyptic number.

352281349152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

352281349152 is an abundant number, since it is smaller than the sum of its proper divisors (675205921728).

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

352281349152 is a wasteful number, since it uses less digits than its factorization.

352281349152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407733062 (or 407733048 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 352281349152 in words is "three hundred fifty-two billion, two hundred eighty-one million, three hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 407733043 815466086 1223199129 1630932172 2446398258 3261864344 3669597387 4892796516 6523728688 7339194774 9785593032 11008792161 13047457376 14678389548 19571186064 22017584322 29356779096 39142372128 44035168644 58713558192 88070337288 117427116384 176140674576 352281349152