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5411298640 = 24511103227263
BaseRepresentation
bin1010000101000100…
…11101110101010000
3111222010022110020011
411002202131311100
542040243024030
62252542524304
7251045164606
oct50242356520
914863273204
105411298640
11232759a840
121070296694
13683127b77
14394967876
1521a0ecb2a
hex14289dd50

5411298640 has 160 divisors (see below), whose sum is σ = 13972248576. Its totient is φ = 1932679680.

The previous prime is 5411298601. The next prime is 5411298643. The reversal of 5411298640 is 468921145.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5411298593 and 5411298602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5411298643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20575149 + ... + 20575411.

Almost surely, 25411298640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5411298640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986124288).

5411298640 is an abundant number, since it is smaller than the sum of its proper divisors (8560949936).

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

5411298640 is a wasteful number, since it uses less digits than its factorization.

5411298640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 5411298640 is about 73561.5296197680. The cubic root of 5411298640 is about 1755.6333988046.

The spelling of 5411298640 in words is "five billion, four hundred eleven million, two hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 103 110 176 206 220 227 263 412 440 454 515 526 824 880 908 1030 1052 1133 1135 1315 1648 1816 2060 2104 2266 2270 2497 2630 2893 3632 4120 4208 4532 4540 4994 5260 5665 5786 8240 9064 9080 9988 10520 11330 11572 12485 14465 18128 18160 19976 21040 22660 23144 23381 24970 27089 28930 39952 45320 46288 46762 49940 54178 57860 59701 90640 93524 99880 108356 115720 116905 119402 135445 187048 199760 216712 231440 233810 238804 257191 270890 297979 298505 374096 433424 467620 477608 514382 541780 595958 597010 656711 935240 955216 1028764 1083560 1191916 1194020 1285955 1313422 1489895 1870480 2057528 2167120 2383832 2388040 2571910 2626844 2979790 3283555 4115056 4767664 4776080 5143820 5253688 5959580 6149203 6567110 10287640 10507376 11919160 12298406 13134220 20575280 23838320 24596812 26268440 30746015 49193624 52536880 61492030 67641233 98387248 122984060 135282466 245968120 270564932 338206165 491936240 541129864 676412330 1082259728 1352824660 2705649320 5411298640