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11929280977152 = 28367113161439
BaseRepresentation
bin1010110110011000000010…
…0011100001100100000000
31120020102120002202112000000
42231212000203201210000
53030422131412232102
641212122552000000
72340601463152230
oct255460043414400
946212502675000
1011929280977152
11388a1a8130280
121407b84090000
13686c07305436
142d35476b9cc0
1515a49463101c
hexad9808e1900

11929280977152 has 2016 divisors, whose sum is σ = 46806550855680. Its totient is φ = 2942687232000.

The previous prime is 11929280977151. The next prime is 11929280977181. The reversal of 11929280977152 is 25177908292911.

11929280977152 is a `hidden beast` number, since 119 + 2 + 9 + 280 + 97 + 7 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×119292809771522 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11929280977152.

It is not an unprimeable number, because it can be changed into a prime (11929280977151) 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, 27173760549 + ... + 27173760987.

Almost surely, 211929280977152 is an apocalyptic number.

11929280977152 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 11929280977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23403275427840).

11929280977152 is an abundant number, since it is smaller than the sum of its proper divisors (34877269878528).

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

11929280977152 is an equidigital number, since it uses as much as digits as its factorization.

11929280977152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 63.

The spelling of 11929280977152 in words is "eleven trillion, nine hundred twenty-nine billion, two hundred eighty million, nine hundred seventy-seven thousand, one hundred fifty-two".