Search a number
-
+
16186460082720 = 253569674840217
BaseRepresentation
bin1110101110001011010000…
…1101000001001000100000
32010022102002020022102111020
43223202310031001020200
54110144332240121340
654231542422445440
73260301366406134
oct353426415011040
963272066272436
1016186460082720
115180703811394
121995064893880
139054b86156c5
143dd600a8b3c4
151d10a87ec9d0
hexeb8b4341220

16186460082720 has 96 divisors (see below), whose sum is σ = 50994678204288. Its totient is φ = 4315768915968.

The previous prime is 16186460082679. The next prime is 16186460082739. The reversal of 16186460082720 is 2728006468161.

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

It is a super-5 number, since 5×161864600827205 (a number of 67 digits) contains 55555 as substring.

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, 924052 + ... + 5764268.

It is an arithmetic number, because the mean of its divisors is an integer number (531194564628).

Almost surely, 216186460082720 is an apocalyptic number.

16186460082720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16186460082720 is an abundant number, since it is smaller than the sum of its proper divisors (34808218121568).

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

16186460082720 is a wasteful number, since it uses less digits than its factorization.

16186460082720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847202 (or 4847194 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 16186460082720 in words is "sixteen trillion, one hundred eighty-six billion, four hundred sixty million, eighty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6967 13934 20901 27868 34835 41802 55736 69670 83604 104505 111472 139340 167208 209010 222944 278680 334416 418020 557360 668832 836040 1114720 1672080 3344160 4840217 9680434 14520651 19360868 24201085 29041302 38721736 48402170 58082604 72603255 77443472 96804340 116165208 145206510 154886944 193608680 232330416 290413020 387217360 464660832 580826040 774434720 1161652080 2323304160 33721791839 67443583678 101165375517 134887167356 168608959195 202330751034 269774334712 337217918390 404661502068 505826877585 539548669424 674435836780 809323004136 1011653755170 1079097338848 1348871673560 1618646008272 2023307510340 2697743347120 3237292016544 4046615020680 5395486694240 8093230041360 16186460082720