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151107396850872 = 2336731119361433
BaseRepresentation
bin100010010110111001101110…
…101101100101010010111000
3201211000201121022000112000000
4202112321232231211102320
5124301220422043211442
61253213440233513000
743554102105525000
oct4226715655452270
9654021538015000
10151107396850872
1144169318184850
1214b45761572760
13664149bc28207
1429458cc025000
1512709b4489d4c
hex896e6eb654b8

151107396850872 has 896 divisors, whose sum is σ = 568868201280000. Its totient is φ = 37182851919360.

The previous prime is 151107396850859. The next prime is 151107396850877. The reversal of 151107396850872 is 278058693701151.

It is a happy number.

151107396850872 is a `hidden beast` number, since 1 + 5 + 110 + 7 + 3 + 9 + 6 + 8 + 508 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151107396850877) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 417897868 + ... + 418259300.

Almost surely, 2151107396850872 is an apocalyptic number.

151107396850872 is a gapful number since it is divisible by the number (12) 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 151107396850872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284434100640000).

151107396850872 is an abundant number, since it is smaller than the sum of its proper divisors (417760804429128).

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

151107396850872 is a wasteful number, since it uses less digits than its factorization.

151107396850872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361508 (or 361475 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 151107396850872 in words is "one hundred fifty-one trillion, one hundred seven billion, three hundred ninety-six million, eight hundred fifty thousand, eight hundred seventy-two".