Search a number
-
+
10378855710720 = 2173457173153
BaseRepresentation
bin1001011100001000010000…
…0000100000000000000000
31100202012122022002102210000
42113002010000200000000
52330021344030220340
634023551441440000
72120563501634130
oct227020400400000
940665568072700
1010378855710720
113341714521982
1211b75a9940000
135a3950002293
1427c4a705cac0
1512eea03dbd30
hex97084020000

10378855710720 has 2880 divisors, whose sum is σ = 47356665624576. Its totient is φ = 2119969013760.

The previous prime is 10378855710709. The next prime is 10378855710739. The reversal of 10378855710720 is 2701755887301.

10378855710720 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 8 + 8 + 557 + 10 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 195827466214 + ... + 195827466266.

Almost surely, 210378855710720 is an apocalyptic number.

10378855710720 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 10378855710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23678332812288).

10378855710720 is an abundant number, since it is smaller than the sum of its proper divisors (36977809913856).

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

10378855710720 is an frugal number, since it uses more digits than its factorization.

10378855710720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 10378855710720 in words is "ten trillion, three hundred seventy-eight billion, eight hundred fifty-five million, seven hundred ten thousand, seven hundred twenty".