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51412122036 = 223411411931823
BaseRepresentation
bin101111111000011001…
…101011100110110100
311220200222222101220000
4233320121223212310
51320243000401121
635341324111300
73500016553422
oct577031534664
9156628871800
1051412122036
111a892891260
129b69995530
134b044a3bb2
1426ba0ba112
15150d831526
hexbf866b9b4

51412122036 has 240 divisors, whose sum is σ = 151056880128. Its totient is φ = 15112396800.

The previous prime is 51412121989. The next prime is 51412122037. The reversal of 51412122036 is 63022121415.

51412122036 is a `hidden beast` number, since 514 + 121 + 2 + 20 + 3 + 6 = 666.

It is a super-3 number, since 3×514121220363 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51412122037) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28201021 + ... + 28202843.

Almost surely, 251412122036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51412122036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75528440064).

51412122036 is an abundant number, since it is smaller than the sum of its proper divisors (99644758092).

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

51412122036 is a wasteful number, since it uses less digits than its factorization.

51412122036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 51412122036 in words is "fifty-one billion, four hundred twelve million, one hundred twenty-two thousand, thirty-six".