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114192552548160 = 263451931101103719
BaseRepresentation
bin11001111101101110000110…
…100001111101011101000000
3112222022200221022211102020000
4121331232012201331131000
5104431412321423020120
61042511200123120000
733024065622263262
oct3175560641753500
9488280838742200
10114192552548160
1133426875a13189
1210983346973000
134b94408499208
14202ad4020bb32
15d30624dde990
hex67db8687d740

114192552548160 has 2240 divisors, whose sum is σ = 450698718412800. Its totient is φ = 27335190528000.

The previous prime is 114192552548159. The next prime is 114192552548161. The reversal of 114192552548160 is 61845255291411.

114192552548160 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 9 + 2 + 552 + 5 + 4 + 81 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114192552548159) and next prime (114192552548161).

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

It is a junction number, because it is equal to n+sod(n) for n = 114192552548097 and 114192552548106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114192552548161) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 158821352281 + ... + 158821352999.

Almost surely, 2114192552548160 is an apocalyptic number.

114192552548160 is a gapful number since it is divisible by the number (10) 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 114192552548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225349359206400).

114192552548160 is an abundant number, since it is smaller than the sum of its proper divisors (336506165864640).

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

114192552548160 is a wasteful number, since it uses less digits than its factorization.

114192552548160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 114192552548160 in words is "one hundred fourteen trillion, one hundred ninety-two billion, five hundred fifty-two million, five hundred forty-eight thousand, one hundred sixty".