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1055409416832 = 27318439149057
BaseRepresentation
bin11110101101110110100…
…11011010101010000000
310201220012022000102222110
433112323103122222000
5114242434302314312
62124503130335320
7136152013011231
oct17267323325200
93656168012873
101055409416832
11377662112971
1215066658a540
13786a8954a14
1439121371088
151c6c0e8643c
hexf5bb4daa80

1055409416832 has 64 divisors (see below), whose sum is σ = 2803602110400. Its totient is φ = 351781699584.

The previous prime is 1055409416687. The next prime is 1055409416833. The reversal of 1055409416832 is 2386149045501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10554094168322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1055409416833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7006048 + ... + 7155104.

It is an arithmetic number, because the mean of its divisors is an integer number (43806282975).

Almost surely, 21055409416832 is an apocalyptic number.

1055409416832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1055409416832 is an abundant number, since it is smaller than the sum of its proper divisors (1748192693568).

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

1055409416832 is a wasteful number, since it uses less digits than its factorization.

1055409416832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167513 (or 167501 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 1055409416832 in words is "one trillion, fifty-five billion, four hundred nine million, four hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 18439 36878 55317 73756 110634 147512 149057 221268 295024 298114 442536 447171 590048 596228 885072 894342 1180096 1192456 1770144 1788684 2360192 2384912 3540288 3577368 4769824 7080576 7154736 9539648 14309472 19079296 28618944 57237888 2748462023 5496924046 8245386069 10993848092 16490772138 21987696184 32981544276 43975392368 65963088552 87950784736 131926177104 175901569472 263852354208 351803138944 527704708416 1055409416832