Search a number
-
+
1007192327636 = 2211176720097221
BaseRepresentation
bin11101010100000010101…
…01110100010111010100
310120021201222001112012002
432222001111310113110
5113000212213441021
62050410415014432
7132524110346165
oct16520125642724
93507658045162
101007192327636
113591698a2120
1214324a80a418
1373c933a0801
1436a6974976c
151b2ecdc150b
hexea815745d4

1007192327636 has 48 divisors (see below), whose sum is σ = 2066315977152. Its totient is φ = 424453286400.

The previous prime is 1007192327627. The next prime is 1007192327663. The reversal of 1007192327636 is 6367232917001.

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 15 ways as a sum of consecutive naturals, for example, 9998495 + ... + 10098726.

It is an arithmetic number, because the mean of its divisors is an integer number (43048249524).

Almost surely, 21007192327636 is an apocalyptic number.

It is an amenable number.

1007192327636 is an abundant number, since it is smaller than the sum of its proper divisors (1059123649516).

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

1007192327636 is a wasteful number, since it uses less digits than its factorization.

1007192327636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20097320 (or 20097318 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 47.

The spelling of 1007192327636 in words is "one trillion, seven billion, one hundred ninety-two million, three hundred twenty-seven thousand, six hundred thirty-six".

Divisors: 1 2 4 11 17 22 34 44 67 68 134 187 268 374 737 748 1139 1474 2278 2948 4556 12529 25058 50116 20097221 40194442 80388884 221069431 341652757 442138862 683305514 884277724 1346513807 1366611028 2693027614 3758180327 5386055228 7516360654 14811651877 15032721308 22890734719 29623303754 45781469438 59246607508 91562938876 251798081909 503596163818 1007192327636