Search a number
-
+
152145521775 = 345213171093119
BaseRepresentation
bin1000110110110010010…
…1000110110001101111
3112112201021122022110000
42031230211012301233
54443043223144100
6153521130315343
713664210411532
oct2155445066157
9475637568400
10152145521775
11595851a9445
12255a1288b53
1311468c18280
1475146caa19
153e57139900
hex236c946c6f

152145521775 has 240 divisors, whose sum is σ = 324410486400. Its totient is φ = 69827235840.

The previous prime is 152145521771. The next prime is 152145521813. The reversal of 152145521775 is 577125541251.

152145521775 is a `hidden beast` number, since 1 + 5 + 2 + 14 + 552 + 17 + 75 = 666.

It is not a de Polignac number, because 152145521775 - 22 = 152145521771 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 152145521775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152145521771) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 48778666 + ... + 48781784.

It is an arithmetic number, because the mean of its divisors is an integer number (1351710360).

Almost surely, 2152145521775 is an apocalyptic number.

152145521775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

152145521775 is an abundant number, since it is smaller than the sum of its proper divisors (172264964625).

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

152145521775 is a wasteful number, since it uses less digits than its factorization.

152145521775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3266 counting only the distinct ones).

The product of its digits is 490000, while the sum is 45.

The spelling of 152145521775 in words is "one hundred fifty-two billion, one hundred forty-five million, five hundred twenty-one thousand, seven hundred seventy-five".