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151245069696 = 2733731201673
BaseRepresentation
bin1000110011011011101…
…0001001110110000000
3112110101112021121102000
42030312322021312000
54434222214212241
6153251522424000
713632664611030
oct2146672116600
9473345247360
10151245069696
1159162998476
122538b802000
13113544c3ba6
14746ac938c0
153e0306deb6
hex2336e89d80

151245069696 has 256 divisors, whose sum is σ = 526611148800. Its totient is φ = 41818705920.

The previous prime is 151245069691. The next prime is 151245069739. The reversal of 151245069696 is 696960542151.

151245069696 is a `hidden beast` number, since 1 + 5 + 12 + 450 + 6 + 96 + 96 = 666.

It is a super-2 number, since 2×1512450696962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151245069691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 649116 + ... + 850788.

It is an arithmetic number, because the mean of its divisors is an integer number (2057074800).

Almost surely, 2151245069696 is an apocalyptic number.

151245069696 is a gapful number since it is divisible by the number (16) 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 151245069696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263305574400).

151245069696 is an abundant number, since it is smaller than the sum of its proper divisors (375366079104).

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

151245069696 is a wasteful number, since it uses less digits than its factorization.

151245069696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201734 (or 201716 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 151245069696 in words is "one hundred fifty-one billion, two hundred forty-five million, sixty-nine thousand, six hundred ninety-six".