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1157130446288 = 242922671100051
BaseRepresentation
bin10000110101101010010…
…110010110010111010000
311002121202102002010210212
4100311222112112113100
5122424300343240123
62243324533143252
7146412525336305
oct20655226262720
94077672063725
101157130446288
11406810a74963
1216831478ab28
1385169b9488b
1440010bcd0ac
152017632a878
hex10d6a5965d0

1157130446288 has 40 divisors (see below), whose sum is σ = 2320273680480. Its totient is φ = 558367779200.

The previous prime is 1157130446287. The next prime is 1157130446327. The reversal of 1157130446288 is 8826440317511.

It is a super-3 number, since 3×11571304462883 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157130446287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501863 + ... + 1601913.

It is an arithmetic number, because the mean of its divisors is an integer number (58006842012).

Almost surely, 21157130446288 is an apocalyptic number.

It is an amenable number.

1157130446288 is an abundant number, since it is smaller than the sum of its proper divisors (1163143234192).

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

1157130446288 is a wasteful number, since it uses less digits than its factorization.

1157130446288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102355 (or 1102349 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The spelling of 1157130446288 in words is "one trillion, one hundred fifty-seven billion, one hundred thirty million, four hundred forty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 2267 4534 9068 18136 36272 65743 131486 262972 525944 1051888 1100051 2200102 4400204 8800408 17600816 31901479 63802958 127605916 255211832 510423664 2493815617 4987631234 9975262468 19950524936 39901049872 72320652893 144641305786 289282611572 578565223144 1157130446288