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332256921703056 = 2431272192472
BaseRepresentation
bin100101110001011111001011…
…1110010101101001010010000
31121120102110012011000000000000
41023202332113302231022100
5322022144133423444211
63134352420032130000
7126661525154132400
oct11342762762551220
91546373164000000
10332256921703056
119695a407421559
123132174a996900
131135190218809c
145c0946c45c800
152862b71e2e656
hex12e2f97cad290

332256921703056 has 1755 divisors, whose sum is σ = 1211264886390579. Its totient is φ = 88020710660736.

The previous prime is 332256921703013. The next prime is 332256921703093. The reversal of 332256921703056 is 650307129652233.

The square root of 332256921703056 is 18227916.

It is a perfect power (a square), and thus also a powerful number.

332256921703056 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 569 + 2 + 1 + 70 + 3 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×3322569217030562 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 332256921702993 and 332256921703011.

It is an unprimeable number.

It is a polite number, since it can be written in 350 ways as a sum of consecutive naturals, for example, 7069296206425 + ... + 7069296206471.

Almost surely, 2332256921703056 is an apocalyptic number.

332256921703056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

332256921703056 is the 18227916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332256921703056

332256921703056 is an abundant number, since it is smaller than the sum of its proper divisors (879007964687523).

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

332256921703056 is an frugal number, since it uses more digits than its factorization.

332256921703056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 332256921703056 in words is "three hundred thirty-two trillion, two hundred fifty-six billion, nine hundred twenty-one million, seven hundred three thousand, fifty-six".