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145626488496 = 2433337098353
BaseRepresentation
bin1000011110100000000…
…0111101111010110000
3111220212221221002222000
42013220000331322300
54341220340112441
6150522213014000
713343521504566
oct2075000757260
9456787832860
10145626488496
115683a3a1235
1224282024300
131096a462028
1470969ada36
153bc4b792b6
hex21e803deb0

145626488496 has 40 divisors (see below), whose sum is σ = 418001958960. Its totient is φ = 48542162688.

The previous prime is 145626488471. The next prime is 145626488503. The reversal of 145626488496 is 694884626541.

145626488496 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 2 + 64 + 88 + 496 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168548745 + ... + 168549608.

It is an arithmetic number, because the mean of its divisors is an integer number (10450048974).

Almost surely, 2145626488496 is an apocalyptic number.

145626488496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145626488496 is an abundant number, since it is smaller than the sum of its proper divisors (272375470464).

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

145626488496 is a wasteful number, since it uses less digits than its factorization.

145626488496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337098370 (or 337098358 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 145626488496 in words is "one hundred forty-five billion, six hundred twenty-six million, four hundred eighty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 337098353 674196706 1011295059 1348393412 2022590118 2696786824 3033885177 4045180236 5393573648 6067770354 8090360472 9101655531 12135540708 16180720944 18203311062 24271081416 36406622124 48542162832 72813244248 145626488496