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1138745186976 = 25363231875997
BaseRepresentation
bin10000100100100010100…
…000001001101010100000
311000212022002222012100210
4100210202200021222200
5122124122231440401
62231044325214120
7145162111245225
oct20444240115240
94025262865323
101138745186976
113a9a36a75481
12164843561340
13834c9bb4307
143d18915794c
151e94c2214d6
hex10922809aa0

1138745186976 has 48 divisors (see below), whose sum is σ = 2989680460704. Its totient is φ = 379521494784.

The previous prime is 1138745186941. The next prime is 1138745187011. The reversal of 1138745186976 is 6796815478311.

It is an interprime number because it is at equal distance from previous prime (1138745186941) and next prime (1138745187011).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11387451869762 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330991 + ... + 1545006.

It is an arithmetic number, because the mean of its divisors is an integer number (62285009598).

Almost surely, 21138745186976 is an apocalyptic number.

1138745186976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1138745186976 is an abundant number, since it is smaller than the sum of its proper divisors (1850935273728).

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

1138745186976 is a wasteful number, since it uses less digits than its factorization.

1138745186976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882333 (or 1882325 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 66.

The spelling of 1138745186976 in words is "one trillion, one hundred thirty-eight billion, seven hundred forty-five million, one hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 6323 12646 18969 25292 37938 50584 75876 101168 151752 202336 303504 607008 1875997 3751994 5627991 7503988 11255982 15007976 22511964 30015952 45023928 60031904 90047856 180095712 11861929031 23723858062 35585787093 47447716124 71171574186 94895432248 142343148372 189790864496 284686296744 379581728992 569372593488 1138745186976