Search a number
-
+
18196747136640 = 273253159157489
BaseRepresentation
bin1000010001100110000101…
…01001100010111010000000
32101102120222121001202112100
410020303002221202322000
54341113414231333030
6102411245323030400
73555446233416102
oct410630251427200
971376877052470
1018196747136640
115886219409026
12205a79996b400
13a1cc3b181517
1446ca27863572
1521851498b360
hex108cc2a62e80

18196747136640 has 96 divisors (see below), whose sum is σ = 62835642476100. Its totient is φ = 4852465901568.

The previous prime is 18196747136599. The next prime is 18196747136657. The reversal of 18196747136640 is 4663174769181.

18196747136640 is a `hidden beast` number, since 1 + 8 + 1 + 9 + 67 + 471 + 3 + 66 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15337374359616 + 2859372777024 = 3916296^2 + 1690968^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×181967471366402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1579572985 + ... + 1579584504.

Almost surely, 218196747136640 is an apocalyptic number.

18196747136640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18196747136640 is an abundant number, since it is smaller than the sum of its proper divisors (44638895339460).

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

18196747136640 is a wasteful number, since it uses less digits than its factorization.

18196747136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159157514 (or 3159157499 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 18196747136640 in words is "eighteen trillion, one hundred ninety-six billion, seven hundred forty-seven million, one hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 3159157489 6318314978 9477472467 12636629956 15795787445 18954944934 25273259912 28432417401 31591574890 37909889868 47387362335 50546519824 56864834802 63183149780 75819779736 94774724670 101093039648 113729669604 126366299560 142162087005 151639559472 189549449340 202186079296 227459339208 252732599120 284324174010 303279118944 379098898680 404372158592 454918678416 505465198240 568648348020 606558237888 758197797360 909837356832 1010930396480 1137296696040 1213116475776 1516395594720 1819674713664 2021860792960 2274593392080 3032791189440 3639349427328 4549186784160 6065582378880 9098373568320 18196747136640