Search a number
-
+
2083042784016 = 243252327658843
BaseRepresentation
bin11110010011111111000…
…001100111001100010000
321101010200211111100221100
4132103333001213030100
5233112032423042031
64232534152024400
7303331512344055
oct36237701471420
97333624440840
102083042784016
1173346038a5a7
1229785a992100
13121578bb04ac
1472b697ab02c
15392b8691de6
hex1e4ff067310

2083042784016 has 60 divisors (see below), whose sum is σ = 5840773405168. Its totient is φ = 693019945152.

The previous prime is 2083042783979. The next prime is 2083042784099. The reversal of 2083042784016 is 6104872403802.

It is a happy number.

2083042784016 is a `hidden beast` number, since 20 + 8 + 304 + 278 + 40 + 16 = 666.

It is a super-2 number, since 2×20830427840162 (a number of 25 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, 13754110 + ... + 13904733.

Almost surely, 22083042784016 is an apocalyptic number.

It is an amenable number.

2083042784016 is an abundant number, since it is smaller than the sum of its proper divisors (3757730621152).

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

2083042784016 is a wasteful number, since it uses less digits than its factorization.

2083042784016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27659380 (or 27659371 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 2083042784016 in words is "two trillion, eighty-three billion, forty-two million, seven hundred eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 523 1046 1569 2092 3138 4184 4707 6276 8368 9414 12552 18828 25104 37656 75312 27658843 55317686 82976529 110635372 165953058 221270744 248929587 331906116 442541488 497859174 663812232 995718348 1327624464 1991436696 3982873392 14465574889 28931149778 43396724667 57862299556 86793449334 115724599112 130190174001 173586898668 231449198224 260380348002 347173797336 520760696004 694347594672 1041521392008 2083042784016