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112954231153920 = 28351321511152677
BaseRepresentation
bin11001101011101100110100…
…110100101110010100000000
3112210221022121120122202221210
4121223230310310232110000
5104301120231133411140
61040122242450050120
732535450101144622
oct3153546464562400
9483838546582853
10112954231153920
1132a99690859442
1210803353579940
134b046cc827600
141dc702a42cc12
15d0d2eac96d80
hex66bb34d2e500

112954231153920 has 432 divisors, whose sum is σ = 393219298265472. Its totient is φ = 27619961241600.

The previous prime is 112954231153889. The next prime is 112954231153927. The reversal of 112954231153920 is 29351132459211.

It is a happy number.

It is a super-3 number, since 3×1129542311539203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 112954231153920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112954231153927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97416622 + ... + 98569298.

It is an arithmetic number, because the mean of its divisors is an integer number (910229857096).

Almost surely, 2112954231153920 is an apocalyptic number.

112954231153920 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 112954231153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196609649132736).

112954231153920 is an abundant number, since it is smaller than the sum of its proper divisors (280265067111552).

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

112954231153920 is a wasteful number, since it uses less digits than its factorization.

112954231153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152878 (or 1152851 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 112954231153920 in words is "one hundred twelve trillion, nine hundred fifty-four billion, two hundred thirty-one million, one hundred fifty-three thousand, nine hundred twenty".