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552869576704 = 2143721572
BaseRepresentation
bin10000000101110011001…
…10000100000000000000
31221212001102122111002001
420002321212010000000
533024234102423304
61101552413433344
754641423602054
oct10027146040000
91855042574061
10552869576704
111a351a50aa45
128b196a9b854
134019b568983
141ca8aac9c64
15e5ac3a7da4
hex80b9984000

552869576704 has 135 divisors (see below), whose sum is σ = 1143681313383. Its totient is φ = 267250434048.

The previous prime is 552869576641. The next prime is 552869576713. The reversal of 552869576704 is 407675968255.

The square root of 552869576704 is 743552.

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 31701090304 + 521168486400 = 178048^2 + 721920^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3521462194 + ... + 3521462350.

Almost surely, 2552869576704 is an apocalyptic number.

552869576704 is the 743552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552869576704

552869576704 is an abundant number, since it is smaller than the sum of its proper divisors (590811736679).

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

552869576704 is an frugal number, since it uses more digits than its factorization.

552869576704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 64.

Multiplying 552869576704 by its sum of digits (64), we get a square (35383652909056 = 59484162).

552869576704 divided by its sum of digits (64) gives a square (8638587136 = 929442).

The spelling of 552869576704 in words is "five hundred fifty-two billion, eight hundred sixty-nine million, five hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 157 256 296 314 512 592 628 1024 1184 1256 1369 2048 2368 2512 2738 4096 4736 5024 5476 5809 8192 9472 10048 10952 11618 16384 18944 20096 21904 23236 24649 37888 40192 43808 46472 49298 75776 80384 87616 92944 98596 151552 160768 175232 185888 197192 214933 303104 321536 350464 371776 394384 429866 606208 643072 700928 743552 788768 859732 912013 1286144 1401856 1487104 1577536 1719464 1824026 2572288 2803712 2974208 3155072 3438928 3648052 5607424 5948416 6310144 6877856 7296104 11214848 11896832 12620288 13755712 14592208 22429696 23793664 25240576 27511424 29184416 33744481 47587328 50481152 55022848 58368832 67488962 95174656 100962304 110045696 116737664 134977924 201924608 220091392 233475328 269955848 403849216 440182784 466950656 539911696 880365568 933901312 1079823392 1760731136 1867802624 2159646784 3521462272 3735605248 4319293568 7471210496 8638587136 14942420992 17277174272 34554348544 69108697088 138217394176 276434788352 552869576704