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151378246538532 = 223213323457791749
BaseRepresentation
bin100010011010110101111110…
…100111001001010100100100
3201211222121201021111020201100
4202122311332213021110210
5124320140122103213112
61253542112330400100
743612501032062106
oct4232657647112444
9654877637436640
10151378246538532
1144263176825a22
1214b8a150590030
136660ba4720aa0
142954a638dd576
151277a6790e2dc
hex89ad7e9c9524

151378246538532 has 36 divisors (see below), whose sum is σ = 412085226689500. Its totient is φ = 46577922011712.

The previous prime is 151378246538507. The next prime is 151378246538581. The reversal of 151378246538532 is 235835642873151.

151378246538532 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 7 + 8 + 2 + 4 + 65 + 38 + 532 = 666.

151378246538532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 96651038427876 + 54727208110656 = 9831126^2 + 7397784^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 151378246538532.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161728895407 + ... + 161728896342.

Almost surely, 2151378246538532 is an apocalyptic number.

151378246538532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151378246538532 is an abundant number, since it is smaller than the sum of its proper divisors (260706980150968).

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

151378246538532 is a wasteful number, since it uses less digits than its factorization.

151378246538532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323457791772 (or 323457791767 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 151378246538532 in words is "one hundred fifty-one trillion, three hundred seventy-eight billion, two hundred forty-six million, five hundred thirty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 323457791749 646915583498 970373375247 1293831166996 1940746750494 2911120125741 3881493500988 4204951292737 5822240251482 8409902585474 11644480502964 12614853878211 16819805170948 25229707756422 37844561634633 50459415512844 75689123269266 151378246538532