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555955149376 = 261123722292
BaseRepresentation
bin10000001011100011000…
…00100101101001000000
31222011000110200211001101
420011301200211221000
533102044004240001
61103222520144144
755111041540544
oct10056140455100
91864013624041
10555955149376
111a4863208400
128b8b8308054
13405708b1c13
141cca0809a24
15e6dd201a01
hex8171825a40

555955149376 has 189 divisors, whose sum is σ = 1251759866427. Its totient is φ = 244803271680.

The previous prime is 555955149371. The next prime is 555955149389. The reversal of 555955149376 is 673941559555.

The square root of 555955149376 is 745624.

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

It can be written as a sum of positive squares in 4 ways, for example, as 381083982400 + 174871166976 = 617320^2 + 418176^2 .

It is a super-2 number, since 2×5559551493762 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (555955149371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2427751630 + ... + 2427751858.

Almost surely, 2555955149376 is an apocalyptic number.

555955149376 is the 745624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 555955149376

555955149376 is an abundant number, since it is smaller than the sum of its proper divisors (695804717051).

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

555955149376 is an equidigital number, since it uses as much as digits as its factorization.

555955149376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 279 counting only the distinct ones).

The product of its digits is 127575000, while the sum is 64.

Multiplying 555955149376 by its sum of digits (64), we get a square (35581129560064 = 59649922).

555955149376 divided by its sum of digits (64) gives a square (8686799209 = 932032).

The spelling of 555955149376 in words is "five hundred fifty-five billion, nine hundred fifty-five million, one hundred forty-nine thousand, three hundred seventy-six".