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55786970759520 = 2535711213293159199
BaseRepresentation
bin11001010111100111010101…
…00100110100000101100000
321022112011220220121010200110
430223303222210310011200
524303003204003301040
6314352103000251320
714515322066314410
oct1453635244640540
9238464826533613
1055786970759520
11168591376a3100
12630ba7b770b40
1325188c52c4850
14dac164b38640
1566b231897980
hex32bcea934160

55786970759520 has 4608 divisors, whose sum is σ = 259462103040000. Its totient is φ = 9779296665600.

The previous prime is 55786970759413. The next prime is 55786970759563. The reversal of 55786970759520 is 2595707968755.

It is a super-2 number, since 2×557869707595202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 280336536381 + ... + 280336536579.

It is an arithmetic number, because the mean of its divisors is an integer number (56306880000).

Almost surely, 255786970759520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55786970759520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129731051520000).

55786970759520 is an abundant number, since it is smaller than the sum of its proper divisors (203675132280480).

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

55786970759520 is a wasteful number, since it uses less digits than its factorization.

55786970759520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1666980000, while the sum is 75.

The spelling of 55786970759520 in words is "fifty-five trillion, seven hundred eighty-six billion, nine hundred seventy million, seven hundred fifty-nine thousand, five hundred twenty".