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152780193126 = 232117110867847
BaseRepresentation
bin1000111001001001101…
…0001011110101100110
3112121100111212221212100
42032102122023311212
510000343212140001
6154104121432530
714016015133401
oct2162232136546
9477314787770
10152780193126
1159880488420
122573993b746
131153a563152
147574adad38
153e92c05586
hex239268bd66

152780193126 has 48 divisors (see below), whose sum is σ = 366203006208. Its totient is φ = 45644953200.

The previous prime is 152780193113. The next prime is 152780193131. The reversal of 152780193126 is 621391087251.

152780193126 is a `hidden beast` number, since 1 + 527 + 80 + 19 + 31 + 2 + 6 = 666.

152780193126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5419866 + ... + 5447981.

It is an arithmetic number, because the mean of its divisors is an integer number (7629229296).

Almost surely, 2152780193126 is an apocalyptic number.

152780193126 is an abundant number, since it is smaller than the sum of its proper divisors (213422813082).

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

152780193126 is a wasteful number, since it uses less digits than its factorization.

152780193126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10867937 (or 10867934 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 152780193126 in words is "one hundred fifty-two billion, seven hundred eighty million, one hundred ninety-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 1278 1562 2343 4686 7029 14058 10867847 21735694 32603541 65207082 97810623 119546317 195621246 239092634 358638951 717277902 771617137 1075916853 1543234274 2151833706 2314851411 4629702822 6944554233 8487788507 13889108466 16975577014 25463365521 50926731042 76390096563 152780193126