Search a number
-
+
30177656368 = 2423137619967
BaseRepresentation
bin11100000110101110…
…100111111000110000
32212220010120210002121
4130012232213320300
5443300440000433
621510255524024
72115554563306
oct340656477060
985803523077
1030177656368
1111886555982
125a22529614
132acc128302
141663c92276
15bb951cc2d
hex706ba7e30

30177656368 has 80 divisors (see below), whose sum is σ = 61619627520. Its totient is φ = 14289504768.

The previous prime is 30177656347. The next prime is 30177656371. The reversal of 30177656368 is 86365677103.

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, 31207021 + ... + 31207987.

It is an arithmetic number, because the mean of its divisors is an integer number (770245344).

Almost surely, 230177656368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30177656368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30809813760).

30177656368 is an abundant number, since it is smaller than the sum of its proper divisors (31441971152).

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

30177656368 is a wasteful number, since it uses less digits than its factorization.

30177656368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 30177656368 in words is "thirty billion, one hundred seventy-seven million, six hundred fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 23 46 92 137 184 274 368 548 619 967 1096 1238 1934 2192 2476 3151 3868 4952 6302 7736 9904 12604 14237 15472 22241 25208 28474 44482 50416 56948 84803 88964 113896 132479 169606 177928 227792 264958 339212 355856 529916 598573 678424 1059832 1197146 1356848 1950469 2119664 2394292 3047017 3900938 4788584 6094034 7801876 9577168 12188068 13767179 15603752 24376136 27534358 31207504 48752272 55068716 82004501 110137432 164009002 220274864 328018004 656036008 1312072016 1886103523 3772207046 7544414092 15088828184 30177656368