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152142510510 = 232513112904369
BaseRepresentation
bin1000110110110001100…
…1100111100110101110
3112112201001222022202200
42031230121213212232
54443041440314020
6153520542002330
713664143000404
oct2155431474656
9475631868680
10152142510510
1159583531aa1
12255a02763a6
1311468402763
147514145474
153e56c42590
hex236c6679ae

152142510510 has 48 divisors (see below), whose sum is σ = 398590180560. Its totient is φ = 40261628160.

The previous prime is 152142510449. The next prime is 152142510511. The reversal of 152142510510 is 15015241251.

It is a happy number.

152142510510 is a `hidden beast` number, since 1 + 5 + 2 + 142 + 5 + 1 + 0 + 510 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152142510511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6440395 + ... + 6463974.

It is an arithmetic number, because the mean of its divisors is an integer number (8303962095).

Almost surely, 2152142510510 is an apocalyptic number.

152142510510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152142510510 is an abundant number, since it is smaller than the sum of its proper divisors (246447670050).

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

152142510510 is a wasteful number, since it uses less digits than its factorization.

152142510510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12904513 (or 12904510 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 152142510510 its reverse (15015241251), we get a palindrome (167157751761).

The spelling of 152142510510 in words is "one hundred fifty-two billion, one hundred forty-two million, five hundred ten thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3930 5895 11790 12904369 25808738 38713107 64521845 77426214 116139321 129043690 193565535 232278642 387131070 580696605 1161393210 1690472339 3380944678 5071417017 8452361695 10142834034 15214251051 16904723390 25357085085 30428502102 50714170170 76071255255 152142510510