Search a number
-
+
75509056122048 = 2634127114691261
BaseRepresentation
bin10001001010110011010010…
…011101111010110011000000
3100220100121001221122021110000
4101022303102131322303000
534344120021331401143
6424332214223240000
721622230542031663
oct2112632235726300
9326317057567400
1075509056122048
112207223573366a
1285761b2149000
1333196201b8b23
14149092d0956da
158ae26ce10bd3
hex44acd277acc0

75509056122048 has 140 divisors (see below), whose sum is σ = 225594959763712. Its totient is φ = 24971498657280.

The previous prime is 75509056121977. The next prime is 75509056122091. The reversal of 75509056122048 is 84022165090557.

75509056122048 is a `hidden beast` number, since 7 + 5 + 50 + 9 + 0 + 561 + 2 + 20 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 75509056121985 and 75509056122003.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56687263 + ... + 58003998.

Almost surely, 275509056122048 is an apocalyptic number.

It is an amenable number.

75509056122048 is an abundant number, since it is smaller than the sum of its proper divisors (150085903641664).

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

75509056122048 is a wasteful number, since it uses less digits than its factorization.

75509056122048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114691412 (or 114691393 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 75509056122048 in words is "seventy-five trillion, five hundred nine billion, fifty-six million, one hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 127 144 162 192 216 254 288 324 381 432 508 576 648 762 864 1016 1143 1296 1524 1728 2032 2286 2592 3048 3429 4064 4572 5184 6096 6858 8128 9144 10287 12192 13716 18288 20574 24384 27432 36576 41148 54864 73152 82296 109728 164592 219456 329184 658368 114691261 229382522 344073783 458765044 688147566 917530088 1032221349 1376295132 1835060176 2064442698 2752590264 3096664047 3670120352 4128885396 5505180528 6193328094 7340240704 8257770792 9289992141 11010361056 12386656188 14565790147 16515541584 18579984282 22020722112 24773312376 29131580294 33031083168 37159968564 43697370441 49546624752 58263160588 66062166336 74319937128 87394740882 99093249504 116526321176 131092111323 148639874256 174789481764 198186499008 233052642352 262184222646 297279748512 349578963528 393276333969 466105284704 524368445292 594559497024 699157927056 786552667938 932210569408 1048736890584 1179829001907 1398315854112 1573105335876 2097473781168 2359658003814 2796631708224 3146210671752 4194947562336 4719316007628 6292421343504 8389895124672 9438632015256 12584842687008 18877264030512 25169685374016 37754528061024 75509056122048