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11985708672 = 2735755049
BaseRepresentation
bin10110010100110011…
…10110011010000000
31010221022020002100000
423022121312122000
5144021320134142
65301155200000
7603005562030
oct131231663200
933838202300
1011985708672
1150a0690363
1223a5ba6000
1311901cc912
14819b7b8c0
154a239b14c
hex2ca676680

11985708672 has 192 divisors, whose sum is σ = 40877928000. Its totient is φ = 3424425984.

The previous prime is 11985708661. The next prime is 11985708767. The reversal of 11985708672 is 27680758911.

11985708672 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 570 + 8 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190204 + ... + 245252.

It is an arithmetic number, because the mean of its divisors is an integer number (212905875).

Almost surely, 211985708672 is an apocalyptic number.

11985708672 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 11985708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20438964000).

11985708672 is an abundant number, since it is smaller than the sum of its proper divisors (28892219328).

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

11985708672 is an frugal number, since it uses more digits than its factorization.

11985708672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55085 (or 55061 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 11985708672 in words is "eleven billion, nine hundred eighty-five million, seven hundred eight thousand, six hundred seventy-two".