Search a number
-
+
151107022392 = 233173041121789
BaseRepresentation
bin1000110010111010101…
…1100010111000111000
3112110000220112002002220
42030232223202320320
54433431344204032
6153230111524040
713626400332534
oct2145653427070
9473026462086
10151107022392
11590a1a7a497
1225351529620
1311331a1b5b1
1474567dabc4
153de5da112c
hex232eae2e38

151107022392 has 64 divisors (see below), whose sum is σ = 400123994400. Its totient is φ = 47390146560.

The previous prime is 151107022379. The next prime is 151107022399. The reversal of 151107022392 is 293220701151.

151107022392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151107022399) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1179834 + ... + 1301622.

Almost surely, 2151107022392 is an apocalyptic number.

151107022392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151107022392 is an abundant number, since it is smaller than the sum of its proper divisors (249016972008).

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

151107022392 is a wasteful number, since it uses less digits than its factorization.

151107022392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124856 (or 124852 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 151107022392 in words is "one hundred fifty-one billion, one hundred seven million, twenty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 3041 6082 9123 12164 18246 24328 36492 51697 72984 103394 121789 155091 206788 243578 310182 365367 413576 487156 620364 730734 974312 1240728 1461468 2070413 2922936 4140826 6211239 8281652 12422478 16563304 24844956 49689912 370360349 740720698 1111081047 1481441396 2222162094 2962882792 4444324188 6296125933 8888648376 12592251866 18888377799 25184503732 37776755598 50369007464 75553511196 151107022392