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146043682452 = 22332358793753
BaseRepresentation
bin1000100000000011100…
…0011011111010010100
3111221222000221202111000
42020000320123322110
54343044140314302
6151031434543300
713360045550523
oct2100070337224
9457860852430
10146043682452
1156a33940228
1224379897b30
1310a05a13765
1470d616c4ba
153beb5d731c
hex2200e1be94

146043682452 has 48 divisors (see below), whose sum is σ = 395094026880. Its totient is φ = 46564651584.

The previous prime is 146043682439. The next prime is 146043682453. The reversal of 146043682452 is 254286340641.

146043682452 is a `hidden beast` number, since 1 + 4 + 604 + 36 + 8 + 2 + 4 + 5 + 2 = 666.

It is a super-2 number, since 2×1460436824522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146043682398 and 146043682407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146043682453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29394393 + ... + 29399360.

It is an arithmetic number, because the mean of its divisors is an integer number (8231125560).

Almost surely, 2146043682452 is an apocalyptic number.

146043682452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146043682452 is an abundant number, since it is smaller than the sum of its proper divisors (249050344428).

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

146043682452 is a wasteful number, since it uses less digits than its factorization.

146043682452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58793789 (or 58793781 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 146043682452 in words is "one hundred forty-six billion, forty-three million, six hundred eighty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 58793753 117587506 176381259 235175012 352762518 529143777 705525036 1058287554 1352256319 1587431331 2116575108 2704512638 3174862662 4056768957 5409025276 6349725324 8113537914 12170306871 16227075828 24340613742 36510920613 48681227484 73021841226 146043682452