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1010632773696 = 263713217318443
BaseRepresentation
bin11101011010011100110…
…10000101000001000000
310120121121201212021221020
432231032122011001000
5113024233442224241
62052140035425440
7133005264560160
oct16551632050100
93517551767836
101010632773696
1135a674943177
12143a4aa55280
13743c10b8200
1436cb46445a0
151b44ee67b66
hexeb4e685040

1010632773696 has 672 divisors, whose sum is σ = 3617224777728. Its totient is φ = 242740592640.

The previous prime is 1010632773677. The next prime is 1010632773707. The reversal of 1010632773696 is 6963772360101.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119696451 + ... + 119704893.

Almost surely, 21010632773696 is an apocalyptic number.

1010632773696 is a gapful number since it is divisible by the number (16) 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 1010632773696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808612388864).

1010632773696 is an abundant number, since it is smaller than the sum of its proper divisors (2606592004032).

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

1010632773696 is a wasteful number, since it uses less digits than its factorization.

1010632773696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8539 (or 8516 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 51.

The spelling of 1010632773696 in words is "one trillion, ten billion, six hundred thirty-two million, seven hundred seventy-three thousand, six hundred ninety-six".