Search a number
-
+
30609517866816 = 2637211107938099
BaseRepresentation
bin1101111010110110101010…
…11100000110111101000000
311000101020111221002112201010
412331123111130012331000
513003001243033214231
6145033452434240520
76306315246645120
oct675332534067500
9130336457075633
1030609517866816
119831472935889
1235243b5726140
131410607c192c5
1477b71972cc80
1538135551a546
hex1bd6d5706f40

30609517866816 has 112 divisors (see below), whose sum is σ = 92996012940800. Its totient is φ = 8704128222720.

The previous prime is 30609517866799. The next prime is 30609517866833. The reversal of 30609517866816 is 61866871590603.

It is an interprime number because it is at equal distance from previous prime (30609517866799) and next prime (30609517866833).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×306095178668162 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 53685466 + ... + 54252633.

Almost surely, 230609517866816 is an apocalyptic number.

It is an amenable number.

30609517866816 is an abundant number, since it is smaller than the sum of its proper divisors (62386495073984).

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

30609517866816 is a wasteful number, since it uses less digits than its factorization.

30609517866816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107938332 (or 107938322 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 30609517866816 in words is "thirty trillion, six hundred nine billion, five hundred seventeen million, eight hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 211 224 336 422 448 633 672 844 1266 1344 1477 1688 2532 2954 3376 4431 5064 5908 6752 8862 10128 11816 13504 17724 20256 23632 35448 40512 47264 70896 94528 141792 283584 107938099 215876198 323814297 431752396 647628594 755566693 863504792 1295257188 1511133386 1727009584 2266700079 2590514376 3022266772 3454019168 4533400158 5181028752 6044533544 6908038336 9066800316 10362057504 12089067088 18133600632 20724115008 22774938889 24178134176 36267201264 45549877778 48356268352 68324816667 72534402528 91099755556 136649633334 145068805056 159424572223 182199511112 273299266668 318849144446 364399022224 478273716669 546598533336 637698288892 728798044448 956547433338 1093197066672 1275396577784 1457596088896 1913094866676 2186394133344 2550793155568 3826189733352 4372788266688 5101586311136 7652379466704 10203172622272 15304758933408 30609517866816