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354117826084 = 2211424592
BaseRepresentation
bin1010010011100110001…
…00010011011000100100
31020212001002011102211011
411021303010103120210
521300213130413314
6430402433552004
734404240600061
oct5116304233044
91225032142734
10354117826084
111271a9310000
1258769415604
1327515a355c9
14131d46d7c68
1593288004c4
hex5273113624

354117826084 has 45 divisors (see below), whose sum is σ = 681949910635. Its totient is φ = 160897189640.

The previous prime is 354117826081. The next prime is 354117826133. The reversal of 354117826084 is 480628711453.

The square root of 354117826084 is 595078.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (354117826081) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 144007647 + ... + 144010105.

Almost surely, 2354117826084 is an apocalyptic number.

354117826084 is the 595078-th square number.

It is an amenable number.

354117826084 is a deficient number, since it is larger than the sum of its proper divisors (327832084551).

354117826084 is an frugal number, since it uses more digits than its factorization.

354117826084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 354117826084 by its sum of digits (49), we get a square (17351773478116 = 41655462).

The spelling of 354117826084 in words is "three hundred fifty-four billion, one hundred seventeen million, eight hundred twenty-six thousand, eighty-four".

Divisors: 1 2 4 11 22 44 121 242 484 1331 2459 2662 4918 5324 9836 14641 27049 29282 54098 58564 108196 297539 595078 1190156 3272929 6046681 6545858 12093362 13091716 24186724 36002219 66513491 72004438 133026982 144008876 266053964 731648401 1463296802 2926593604 8048132411 16096264822 32192529644 88529456521 177058913042 354117826084