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1006655004640 = 25532401194179
BaseRepresentation
bin11101010011000010101…
…00000101111111100000
310120020100111222200121101
432221201110011333200
5112443112140122030
62050241222204144
7132504564233635
oct16514124057740
93506314880541
101006655004640
11358a1356342a
1214311a883654
1373c08c7b4cc
1436a1823a18c
151b2bab347ca
hexea61505fe0

1006655004640 has 48 divisors (see below), whose sum is σ = 2378308096080. Its totient is φ = 402647500800.

The previous prime is 1006655004601. The next prime is 1006655004673. The reversal of 1006655004640 is 464005566001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006655004640.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5087071 + ... + 5281249.

It is an arithmetic number, because the mean of its divisors is an integer number (49548085335).

Almost surely, 21006655004640 is an apocalyptic number.

1006655004640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006655004640 is an abundant number, since it is smaller than the sum of its proper divisors (1371653091440).

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

1006655004640 is a wasteful number, since it uses less digits than its factorization.

1006655004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226595 (or 226587 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 1006655004640 in words is "one trillion, six billion, six hundred fifty-five million, four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 32401 64802 129604 162005 194179 259208 324010 388358 518416 648020 776716 970895 1036832 1296040 1553432 1941790 2592080 3106864 3883580 5184160 6213728 7767160 15534320 31068640 6291593779 12583187558 25166375116 31457968895 50332750232 62915937790 100665500464 125831875580 201331000928 251663751160 503327502320 1006655004640