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71348820544 = 2617321932
BaseRepresentation
bin100001001110010111…
…0001001101001000000
320211011102101121211001
41002130232021221000
52132110244224134
652435512501344
75104042653031
oct1023456115100
9224142347731
1071348820544
11282936049a1
12119b26aa854
136960a16c11
14364bc04a88
151cc8c46414
hex109cb89a40

71348820544 has 63 divisors (see below), whose sum is σ = 143147621883. Its totient is φ = 35284426752.

The previous prime is 71348820541. The next prime is 71348820551. The reversal of 71348820544 is 44502884317.

The square root of 71348820544 is 267112.

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 3081582144 + 68267238400 = 55512^2 + 261280^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71348820494 and 71348820503.

It is not an unprimeable number, because it can be changed into a prime (71348820541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 369682912 + ... + 369683104.

Almost surely, 271348820544 is an apocalyptic number.

71348820544 is the 267112-nd square number.

It is an amenable number.

71348820544 is an abundant number, since it is smaller than the sum of its proper divisors (71798801339).

71348820544 is an frugal number, since it uses more digits than its factorization.

71348820544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The spelling of 71348820544 in words is "seventy-one billion, three hundred forty-eight million, eight hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 173 193 346 386 692 772 1384 1544 2768 3088 5536 6176 11072 12352 29929 33389 37249 59858 66778 74498 119716 133556 148996 239432 267112 297992 478864 534224 595984 957728 1068448 1191968 1915456 2136896 2383936 5776297 6444077 11552594 12888154 23105188 25776308 46210376 51552616 92420752 103105232 184841504 206210464 369683008 412420928 1114825321 2229650642 4459301284 8918602568 17837205136 35674410272 71348820544