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10320766606080 = 283557396739
BaseRepresentation
bin1001011000101111110110…
…1000001001101100000000
31100112122200222012011200000
42112023331220021230000
52323043412222343310
633541143354400000
72113436134455000
oct226137550115400
940478628164600
1010320766606080
11331a015761887
1211a8297a30000
1359b323421c08
142797562ac000
1512d7007ea4c0
hex962fda09b00

10320766606080 has 864 divisors, whose sum is σ = 43185664704000. Its totient is φ = 2359007981568.

The previous prime is 10320766606063. The next prime is 10320766606177. The reversal of 10320766606080 is 8060666702301.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106638351 + ... + 106735089.

Almost surely, 210320766606080 is an apocalyptic number.

10320766606080 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 10320766606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21592832352000).

10320766606080 is an abundant number, since it is smaller than the sum of its proper divisors (32864898097920).

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

10320766606080 is an frugal number, since it uses more digits than its factorization.

10320766606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96796 (or 96756 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10320766606080 in words is "ten trillion, three hundred twenty billion, seven hundred sixty-six million, six hundred six thousand, eighty".