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152056667052 = 223221531961819
BaseRepresentation
bin1000110110011101001…
…0001001101110101100
3112112111002110000200100
42031213102021232230
54442403001321202
6153504234031100
713662051226053
oct2154722115654
9475432400610
10152056667052
115953a02a594
1225577578490
13114536a7704
14750699b39a
153e4e43741c
hex2367489bac

152056667052 has 36 divisors (see below), whose sum is σ = 384544185480. Its totient is φ = 50661988032.

The previous prime is 152056667041. The next prime is 152056667099. The reversal of 152056667052 is 250766650251.

152056667052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 152056666989 and 152056667007.

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 11 ways as a sum of consecutive naturals, for example, 903402 + ... + 1058417.

It is an arithmetic number, because the mean of its divisors is an integer number (10681782930).

Almost surely, 2152056667052 is an apocalyptic number.

152056667052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152056667052 is an abundant number, since it is smaller than the sum of its proper divisors (232487518428).

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

152056667052 is a wasteful number, since it uses less digits than its factorization.

152056667052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963982 (or 1963977 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 152056667052 in words is "one hundred fifty-two billion, fifty-six million, six hundred sixty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2153 4306 6459 8612 12918 19377 25836 38754 77508 1961819 3923638 5885457 7847276 11770914 17656371 23541828 35312742 70625484 4223796307 8447592614 12671388921 16895185228 25342777842 38014166763 50685555684 76028333526 152056667052