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152026015140 = 2232537531672579
BaseRepresentation
bin1000110110010101110…
…1001110010110100100
3112112101221202202011100
42031211131032112210
54442322124441030
6153501221040100
713661226543636
oct2154535162644
9475357682140
10152026015140
11595237a432a
1225569256030
131144a234a9c
14750289ca56
153e4b8d0360
hex236574e5a4

152026015140 has 288 divisors, whose sum is σ = 485622708480. Its totient is φ = 38453695488.

The previous prime is 152026015129. The next prime is 152026015153. The reversal of 152026015140 is 41510620251.

152026015140 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 2 + 601 + 51 + 4 + 0 = 666.

152026015140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1520260151402 (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 58946371 + ... + 58948949.

It is an arithmetic number, because the mean of its divisors is an integer number (1686189960).

Almost surely, 2152026015140 is an apocalyptic number.

152026015140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152026015140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242811354240).

152026015140 is an abundant number, since it is smaller than the sum of its proper divisors (333596693340).

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

152026015140 is a wasteful number, since it uses less digits than its factorization.

152026015140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 152026015140 its reverse (41510620251), we get a palindrome (193536635391).

The spelling of 152026015140 in words is "one hundred fifty-two billion, twenty-six million, fifteen thousand, one hundred forty".