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1001077880920 = 2351316971134443
BaseRepresentation
bin11101001000101001110…
…01000011100001011000
310112200221211122110010121
432210110321003201120
5112400201414142140
62043515553123024
7132216433406005
oct16442471034130
93480854573117
101001077880920
11356611402877
12142022b59474
137352a6a36c0
14366496688ac
151b0911cd64a
hexe914e43858

1001077880920 has 64 divisors (see below), whose sum is σ = 2427120249120. Its totient is φ = 369410617344.

The previous prime is 1001077880909. The next prime is 1001077880947. The reversal of 1001077880920 is 290887701001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315219 + ... + 1449661.

Almost surely, 21001077880920 is an apocalyptic number.

1001077880920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001077880920 is an abundant number, since it is smaller than the sum of its proper divisors (1426042368200).

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

1001077880920 is a wasteful number, since it uses less digits than its factorization.

1001077880920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136164 (or 1136160 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 43.

The spelling of 1001077880920 in words is "one trillion, one billion, seventy-seven million, eight hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1697 3394 6788 8485 13576 16970 22061 33940 44122 67880 88244 110305 176488 220610 441220 882440 1134443 2268886 4537772 5672215 9075544 11344430 14747759 22688860 29495518 45377720 58991036 73738795 117982072 147477590 294955180 589910360 1925149771 3850299542 7700599084 9625748855 15401198168 19251497710 25026947023 38502995420 50053894046 77005990840 100107788092 125134735115 200215576184 250269470230 500538940460 1001077880920