Search a number
-
+
1946011405712 = 2411257199321587
BaseRepresentation
bin11100010100010111010…
…100011000110110010000
320220000222212210002120212
4130110113110120312100
5223340412404440322
64045552454023252
7260410656011363
oct34242724306620
96800885702525
101946011405712
11690331784920
12275197347b28
1311167b3675aa
146a28a5380da
15359483b70e2
hex1c517518d90

1946011405712 has 80 divisors (see below), whose sum is σ = 4131428196672. Its totient is φ = 880625909760.

The previous prime is 1946011405691. The next prime is 1946011405759. The reversal of 1946011405712 is 2175041106491.

It is a super-2 number, since 2×19460114057122 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1946011405712.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90136583 + ... + 90158169.

Almost surely, 21946011405712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1946011405712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065714098336).

1946011405712 is an abundant number, since it is smaller than the sum of its proper divisors (2185416790960).

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

1946011405712 is a wasteful number, since it uses less digits than its factorization.

1946011405712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23856 (or 23850 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 1946011405712 in words is "one trillion, nine hundred forty-six billion, eleven million, four hundred five thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 257 514 1028 1993 2056 2827 3986 4112 5654 7972 11308 15944 21587 21923 22616 31888 43174 43846 45232 86348 87692 172696 175384 237457 345392 350768 474914 512201 949828 1024402 1899656 2048804 3799312 4097608 5547859 5634211 8195216 11095718 11268422 22191436 22536844 43022891 44382872 45073688 61026449 86045782 88765744 90147376 122052898 172091564 244105796 344183128 473251801 488211592 688366256 946503602 976423184 1893007204 3786014408 7572028816 11056882987 22113765974 44227531948 88455063896 121625712857 176910127792 243251425714 486502851428 973005702856 1946011405712