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151727470650 = 234527192337331
BaseRepresentation
bin1000110101001110101…
…0010111100000111010
3112111122011000010010000
42031103222113200322
54441214213030100
6153411434133430
713650643135560
oct2152352274072
9474564003100
10151727470650
1159390224448
12254a5281276
1311400426642
1474b4d87a30
153e305ac900
hex2353a9783a

151727470650 has 960 divisors, whose sum is σ = 545156536320. Its totient is φ = 30485030400.

The previous prime is 151727470607. The next prime is 151727470651. The reversal of 151727470650 is 56074727151.

151727470650 is a `hidden beast` number, since 1 + 5 + 172 + 7 + 470 + 6 + 5 + 0 = 666.

151727470650 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 2×1517274706502 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 151727470596 and 151727470605.

It is not an unprimeable number, because it can be changed into a prime (151727470651) 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 479 ways as a sum of consecutive naturals, for example, 458390985 + ... + 458391315.

It is an arithmetic number, because the mean of its divisors is an integer number (567871392).

Almost surely, 2151727470650 is an apocalyptic number.

151727470650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151727470650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272578268160).

151727470650 is an abundant number, since it is smaller than the sum of its proper divisors (393429065670).

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

151727470650 is a wasteful number, since it uses less digits than its factorization.

151727470650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 151727470650 in words is "one hundred fifty-one billion, seven hundred twenty-seven million, four hundred seventy thousand, six hundred fifty".