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5431396272 = 243236797757
BaseRepresentation
bin1010000111011110…
…01000011110110000
3112000112010111222220
411003233020132300
542110414140042
62254541401040
7251411051361
oct50357103660
915015114886
105431396272
112337977455
121076b69180
13687343863
143974b9b68
1521bc6c8ec
hex143bc87b0

5431396272 has 160 divisors (see below), whose sum is σ = 15032704512. Its totient is φ = 1686085632.

The previous prime is 5431396253. The next prime is 5431396357. The reversal of 5431396272 is 2726931345.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7174518 + ... + 7175274.

Almost surely, 25431396272 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 5431396272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516352256).

5431396272 is an abundant number, since it is smaller than the sum of its proper divisors (9601308240).

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

5431396272 is a wasteful number, since it uses less digits than its factorization.

5431396272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 949 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 5431396272 is about 73698.0072457865. The cubic root of 5431396272 is about 1757.8041951571.

The spelling of 5431396272 in words is "five billion, four hundred thirty-one million, three hundred ninety-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 67 69 92 97 134 138 184 194 201 268 276 291 368 388 402 536 552 582 757 776 804 1072 1104 1164 1514 1541 1552 1608 2231 2271 2328 3028 3082 3216 4462 4542 4623 4656 6056 6164 6499 6693 8924 9084 9246 12112 12328 12998 13386 17411 17848 18168 18492 19497 24656 25996 26772 34822 35696 36336 36984 38994 50719 51992 52233 53544 69644 73429 73968 77988 101438 103984 104466 107088 139288 146858 149477 152157 155976 202876 208932 220287 278576 293716 298954 304314 311952 405752 417864 440574 448431 587432 597908 608628 811504 835728 881148 896862 1166537 1174864 1195816 1217256 1688867 1762296 1793724 2333074 2391632 2434512 3377734 3499611 3524592 3587448 4666148 4919743 5066601 6755468 6999222 7174896 9332296 9839486 10133202 13510936 13998444 14759229 18664592 19678972 20266404 27021872 27996888 29518458 39357944 40532808 55993776 59036916 78715888 81065616 113154089 118073832 226308178 236147664 339462267 452616356 678924534 905232712 1357849068 1810465424 2715698136 5431396272