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4549313599744 = 28109212232
BaseRepresentation
bin100001000110011100000…
…1110001001100100000000
3121002220120111010211122211
41002030320032021210000
51044013443240142434
613401531550511504
7646451142365344
oct102147016114400
917086514124584
104549313599744
1114a4397a21481
1261582bb05594
1326ccc9729014
1411a28ba59624
157d51109a464
hex42338389900

4549313599744 has 81 divisors (see below), whose sum is σ = 9172431309153. Its totient is φ = 2251945552896.

The previous prime is 4549313599717. The next prime is 4549313599757. The reversal of 4549313599744 is 4479953139454.

The square root of 4549313599744 is 2132912.

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., 3170849753344 + 1378463846400 = 1780688^2 + 1174080^2 .

It is a super-2 number, since 2×45493135997442 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4549313599744.

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, 3719797917 + ... + 3719799139.

Almost surely, 24549313599744 is an apocalyptic number.

4549313599744 is the 2132912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4549313599744

4549313599744 is an abundant number, since it is smaller than the sum of its proper divisors (4623117709409).

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

4549313599744 is an frugal number, since it uses more digits than its factorization.

4549313599744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 1334 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 67.

The spelling of 4549313599744 in words is "four trillion, five hundred forty-nine billion, three hundred thirteen million, five hundred ninety-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 872 1223 1744 2446 3488 4892 6976 9784 11881 13952 19568 23762 27904 39136 47524 78272 95048 133307 156544 190096 266614 313088 380192 533228 760384 1066456 1495729 1520768 2132912 2991458 3041536 4265824 5982916 8531648 11965832 14530463 17063296 23931664 29060926 34126592 47863328 58121852 95726656 116243704 163034461 191453312 232487408 326068922 382906624 464974816 652137844 929949632 1304275688 1859899264 2608551376 3719798528 5217102752 10434205504 17770756249 20868411008 35541512498 41736822016 71083024996 142166049992 284332099984 568664199968 1137328399936 2274656799872 4549313599744