Search a number
-
+
9773394755040 = 253357595477869
BaseRepresentation
bin1000111000111000101110…
…1110001111110111100000
31021121022211200111002102000
42032032023232033313200
52240111403024130130
632441500252124000
72026050555502410
oct216161356176740
937538750432360
109773394755040
113128967602574
12111a196166600
1355b81cb81967
1425b06b806640
1511e365e13260
hex8e38bb8fde0

9773394755040 has 384 divisors, whose sum is σ = 39756189312000. Its totient is φ = 2196055369728.

The previous prime is 9773394755009. The next prime is 9773394755083. The reversal of 9773394755040 is 405574933779.

It is a happy number.

9773394755040 is a `hidden beast` number, since 9 + 7 + 7 + 3 + 39 + 4 + 7 + 550 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954775 + ... + 4523094.

It is an arithmetic number, because the mean of its divisors is an integer number (103531743000).

Almost surely, 29773394755040 is an apocalyptic number.

9773394755040 is a gapful number since it is divisible by the number (90) 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 9773394755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19878094656000).

9773394755040 is an abundant number, since it is smaller than the sum of its proper divisors (29982794556960).

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

9773394755040 is a wasteful number, since it uses less digits than its factorization.

9773394755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477959 (or 5477945 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 63.

The spelling of 9773394755040 in words is "nine trillion, seven hundred seventy-three billion, three hundred ninety-four million, seven hundred fifty-five thousand, forty".