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5961481440 = 253537335669
BaseRepresentation
bin1011000110101010…
…01111110011100000
3120101110120122010220
411203111033303200
544202114401230
62423315123040
7300505520235
oct54325176340
916343518126
105961481440
11258a112272
1211a45a3480
13740100615
14407a6378c
1524d579d10
hex16354fce0

5961481440 has 96 divisors (see below), whose sum is σ = 19286255520. Its totient is φ = 1546758144.

The previous prime is 5961481423. The next prime is 5961481441. The reversal of 5961481440 is 441841695.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5961481392 and 5961481401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5961481441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150075 + ... + 185594.

It is an arithmetic number, because the mean of its divisors is an integer number (200898495).

Almost surely, 25961481440 is an apocalyptic number.

It is an amenable number.

5961481440 is an abundant number, since it is smaller than the sum of its proper divisors (13324774080).

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

5961481440 is a wasteful number, since it uses less digits than its factorization.

5961481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335724 (or 335716 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 5961481440 is about 77210.6303561886. The cubic root of 5961481440 is about 1813.2237492649.

The spelling of 5961481440 in words is "five billion, nine hundred sixty-one million, four hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 335669 671338 1007007 1342676 1678345 2014014 2685352 3356690 4028028 5035035 5370704 6713380 8056056 10070070 10741408 12419753 13426760 16112112 20140140 24839506 26853520 32224224 37259259 40280280 49679012 53707040 62098765 74518518 80560560 99358024 124197530 149037036 161121120 186296295 198716048 248395060 298074072 372592590 397432096 496790120 596148144 745185180 993580240 1192296288 1490370360 1987160480 2980740720 5961481440