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1188116006352 = 2431113916188631
BaseRepresentation
bin10001010010100001001…
…110111000010111010000
311012120201211212200102120
4101102201032320113100
5123431230144200402
62305451333214240
7151560423265152
oct21224116702720
94176654780376
101188116006352
11418971569840
12172321791380
13880674ac3c2
14417100a6ad2
1520d8b7323bc
hex114a13b85d0

1188116006352 has 80 divisors (see below), whose sum is σ = 3372415818240. Its totient is φ = 357444950400.

The previous prime is 1188116006317. The next prime is 1188116006423. The reversal of 1188116006352 is 2536006118811.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8020924 + ... + 8167707.

It is an arithmetic number, because the mean of its divisors is an integer number (42155197728).

Almost surely, 21188116006352 is an apocalyptic number.

1188116006352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1188116006352 is an abundant number, since it is smaller than the sum of its proper divisors (2184299811888).

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

1188116006352 is a wasteful number, since it uses less digits than its factorization.

1188116006352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16188792 (or 16188786 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 1188116006352 in words is "one trillion, one hundred eighty-eight billion, one hundred sixteen million, six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 139 176 264 278 417 528 556 834 1112 1529 1668 2224 3058 3336 4587 6116 6672 9174 12232 18348 24464 36696 73392 16188631 32377262 48565893 64754524 97131786 129509048 178074941 194263572 259018096 356149882 388527144 534224823 712299764 777054288 1068449646 1424599528 2136899292 2250219709 2849199056 4273798584 4500439418 6750659127 8547597168 9000878836 13501318254 18001757672 24752416799 27002636508 36003515344 49504833598 54005273016 74257250397 99009667196 108010546032 148514500794 198019334392 297029001588 396038668784 594058003176 1188116006352