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13206959003044 = 2223219923972
BaseRepresentation
bin1100000000101111110000…
…0110011001010110100100
31201202120110200101012022101
43000023330012121112210
53212340323001044134
644031105422141444
72532112520165122
oct300137406312644
951676420335271
1013206959003044
114232049063984
12159371ba21884
1374a545957c71
14339312430912
1517d823a27e14
hexc02fc1995a4

13206959003044 has 81 divisors (see below), whose sum is σ = 24344086505697. Its totient is φ = 6268800830688.

The previous prime is 13206959002997. The next prime is 13206959003059. The reversal of 13206959003044 is 44030095960231.

The square root of 13206959003044 is 3634138.

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

It can be written as a sum of positive squares in only one way, i.e., 8850922502500 + 4356036500544 = 2975050^2 + 2087112^2 .

It is a super-2 number, since 2×132069590030442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13206959002985 and 13206959003003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33266899054 + ... + 33266899450.

Almost surely, 213206959003044 is an apocalyptic number.

13206959003044 is the 3634138-th square number.

It is an amenable number.

13206959003044 is a deficient number, since it is larger than the sum of its proper divisors (11137127502653).

13206959003044 is an frugal number, since it uses more digits than its factorization.

13206959003044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 13206959003044 in words is "thirteen trillion, two hundred six billion, nine hundred fifty-nine million, three thousand, forty-four".

Divisors: 1 2 4 23 46 92 199 397 398 529 794 796 1058 1588 2116 4577 9131 9154 18262 18308 36524 39601 79003 79202 105271 157609 158006 158404 210013 210542 315218 316012 420026 421084 630436 840052 910823 1817069 1821646 3625007 3634138 3643292 7250014 7268276 14500028 15721597 20948929 31364191 31443194 41792587 41897858 62728382 62886388 83375161 83585174 83795716 125456764 166750322 167170348 333500644 361596731 721376393 723193462 1442752786 1446386924 2885505572 6241474009 8316724813 12482948018 16591657039 16633449626 24965896036 33183314078 33266899252 66366628156 143553902207 287107804414 574215608828 3301739750761 6603479501522 13206959003044