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152144552324430 = 23257921398671213
BaseRepresentation
bin100010100101111111101001…
…111111101110110101001110
3201221200212200110000120021100
4202211333221333232311032
5124420214020343340210
61255330124211043530
744022036560556561
oct4245775177566516
9657625613016240
10152144552324430
1144529162428986
12150927728a05a6
1366b8228b59163
14297db9ad444d8
15128c967b055c0
hex8a5fe9feed4e

152144552324430 has 48 divisors (see below), whose sum is σ = 400583125126080. Its totient is φ = 40058312508864.

The previous prime is 152144552324423. The next prime is 152144552324437. The reversal of 152144552324430 is 34423255441251.

152144552324430 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 44 + 552 + 3 + 24 + 4 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (152144552324423) and next prime (152144552324437).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152144552324437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10699328497 + ... + 10699342716.

It is an arithmetic number, because the mean of its divisors is an integer number (8345481773460).

Almost surely, 2152144552324430 is an apocalyptic number.

152144552324430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152144552324430 is an abundant number, since it is smaller than the sum of its proper divisors (248438572801650).

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

152144552324430 is a wasteful number, since it uses less digits than its factorization.

152144552324430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21398671305 (or 21398671302 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 152144552324430 in words is "one hundred fifty-two trillion, one hundred forty-four billion, five hundred fifty-two million, three hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 2370 3555 7110 21398671213 42797342426 64196013639 106993356065 128392027278 192588040917 213986712130 320980068195 385176081834 641960136390 962940204585 1690495025827 1925880409170 3380990051654 5071485077481 8452475129135 10142970154962 15214455232443 16904950258270 25357425387405 30428910464886 50714850774810 76072276162215 152144552324430