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3654470016 = 273224113163
BaseRepresentation
bin1101100111010010…
…1100100110000000
3100102200112022102100
43121310230212000
524441021020031
61402343550400
7156363324351
oct33164544600
910380468370
103654470016
11160594245a
1285ba5b400
13463171cc2
142694cbd28
15165c70de6
hexd9d2c980

3654470016 has 96 divisors (see below), whose sum is σ = 10560555720. Its totient is φ = 1213009920.

The previous prime is 3654470011. The next prime is 3654470033. The reversal of 3654470016 is 6100744563.

It is a happy number.

3654470016 is a `hidden beast` number, since 36 + 544 + 70 + 0 + 16 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3654470011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271051 + ... + 284213.

Almost surely, 23654470016 is an apocalyptic number.

3654470016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3654470016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280277860).

3654470016 is an abundant number, since it is smaller than the sum of its proper divisors (6906085704).

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

3654470016 is a wasteful number, since it uses less digits than its factorization.

3654470016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13424 (or 13409 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3654470016 is about 60452.2126642193. The cubic root of 3654470016 is about 1540.3099977504.

The spelling of 3654470016 in words is "three billion, six hundred fifty-four million, four hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 241 288 384 482 576 723 964 1152 1446 1928 2169 2892 3856 4338 5784 7712 8676 11568 13163 15424 17352 23136 26326 30848 34704 39489 46272 52652 69408 78978 92544 105304 118467 138816 157956 210608 236934 277632 315912 421216 473868 631824 842432 947736 1263648 1684864 1895472 2527296 3172283 3790944 5054592 6344566 7581888 9516849 12689132 15163776 19033698 25378264 28550547 38067396 50756528 57101094 76134792 101513056 114202188 152269584 203026112 228404376 304539168 406052224 456808752 609078336 913617504 1218156672 1827235008 3654470016