Search a number
-
+
10095959596000 = 255331101806129
BaseRepresentation
bin1001001011101010011000…
…0101011101101111100000
31022202011102210010210202111
42102322212011131233200
52310403011124033000
633250004140125104
72061260201426305
oct222724605355740
938664383123674
1010095959596000
113242743a99863
1211707b8536794
1358307786ab65
1426c90b71d0ac
151279445c5cba
hex92ea615dbe0

10095959596000 has 192 divisors, whose sum is σ = 25859515368960. Its totient is φ = 3869414400000.

The previous prime is 10095959595983. The next prime is 10095959596001. The reversal of 10095959596000 is 69595959001.

10095959596000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10095959596001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12120936 + ... + 12927064.

It is an arithmetic number, because the mean of its divisors is an integer number (134684975880).

Almost surely, 210095959596000 is an apocalyptic number.

10095959596000 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 10095959596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12929757684480).

10095959596000 is an abundant number, since it is smaller than the sum of its proper divisors (15763555772960).

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

10095959596000 is a wasteful number, since it uses less digits than its factorization.

10095959596000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806286 (or 806268 counting only the distinct ones).

The product of its (nonzero) digits is 4920750, while the sum is 58.

The spelling of 10095959596000 in words is "ten trillion, ninety-five billion, nine hundred fifty-nine million, five hundred ninety-six thousand".