Search a number
-
+
78186774740032 = 2673114447389687
BaseRepresentation
bin10001110001110001000110…
…111011110011110001000000
3101020211120201202122001010001
4101301301012323303301000
540222003003313140112
6434142301454245344
722316544110530120
oct2161610673636100
9336746652561101
1078186774740032
1122a04909019a42
1289291547b6854
133481c9a9886ca
14154438d980c80
15908c3dcd4c57
hex471c46ef3c40

78186774740032 has 112 divisors (see below), whose sum is σ = 183049459826688. Its totient is φ = 32425366786560.

The previous prime is 78186774739967. The next prime is 78186774740083. The reversal of 78186774740032 is 23004747768187.

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

It is a super-2 number, since 2×781867747400322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 200445093 + ... + 200834779.

It is an arithmetic number, because the mean of its divisors is an integer number (1634370177024).

Almost surely, 278186774740032 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 78186774740032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91524729913344).

78186774740032 is an abundant number, since it is smaller than the sum of its proper divisors (104862685086656).

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

78186774740032 is a wasteful number, since it uses less digits than its factorization.

78186774740032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404184 (or 404174 counting only the distinct ones).

The product of its (nonzero) digits is 88510464, while the sum is 64.

The spelling of 78186774740032 in words is "seventy-eight trillion, one hundred eighty-six billion, seven hundred seventy-four million, seven hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 13888 14447 28894 57788 101129 115576 202258 231152 389687 404516 447857 462304 779374 809032 895714 924608 1558748 1618064 1791428 2727809 3117496 3134999 3236128 3582856 5455618 6234992 6269998 6472256 7165712 10911236 12080297 12469984 12539996 14331424 21822472 24160594 24939968 25079992 28662848 43644944 48321188 50159984 84562079 87289888 96642376 100319968 169124158 174579776 193284752 200639936 338248316 386569504 676496632 773139008 1352993264 2705986528 5411973056 5629808089 11259616178 22519232356 39408656623 45038464712 78817313246 90076929424 157634626492 174524050759 180153858848 315269252984 349048101518 360307717696 630538505968 698096203036 1221668355313 1261077011936 1396192406072 2443336710626 2522154023872 2792384812144 4886673421252 5584769624288 9773346842504 11169539248576 19546693685008 39093387370016 78186774740032