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78333051132 = 22337937111057
BaseRepresentation
bin100100011110100000…
…0111000000011111100
321111012011110022001000
41020331000320003330
52240411230114012
655552525050300
75442110643240
oct1107500700374
9244164408030
1078333051132
1130247a68796
12132216b6990
13750498b23b
143b11618420
152086e97ddc
hex123d0380fc

78333051132 has 96 divisors (see below), whose sum is σ = 232143690240. Its totient is φ = 22376459520.

The previous prime is 78333051131. The next prime is 78333051187. The reversal of 78333051132 is 23115033387.

78333051132 is a `hidden beast` number, since 7 + 83 + 3 + 30 + 511 + 32 = 666.

It is a super-2 number, since 2×783330511322 (a number of 23 digits) contains 22 as substring.

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 (78333051131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7078948 + ... + 7090004.

It is an arithmetic number, because the mean of its divisors is an integer number (2418163440).

Almost surely, 278333051132 is an apocalyptic number.

It is an amenable number.

78333051132 is an abundant number, since it is smaller than the sum of its proper divisors (153810639108).

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

78333051132 is a wasteful number, since it uses less digits than its factorization.

78333051132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20448 (or 20440 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 78333051132 in words is "seventy-eight billion, three hundred thirty-three million, fifty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 9371 11057 18742 22114 28113 33171 37484 44228 56226 65597 66342 77399 84339 99513 112452 131194 132684 154798 168678 196791 199026 232197 253017 262388 298539 309596 337356 393582 398052 464394 506034 590373 597078 696591 787164 928788 1012068 1180746 1194156 1393182 1771119 2089773 2361492 2786364 3542238 4179546 7084476 8359092 103615147 207230294 310845441 414460588 621690882 725306029 932536323 1243381764 1450612058 1865072646 2175918087 2797608969 2901224116 3730145292 4351836174 5595217938 6527754261 8703672348 11190435876 13055508522 19583262783 26111017044 39166525566 78333051132