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5430243136 = 26374797503
BaseRepresentation
bin1010000111010101…
…01110111101000000
3112000102221221012011
411003222232331000
542110120240021
62254500542304
7251365206433
oct50352567500
915012857164
105430243136
11233725a04a
1210766b1994
1368702ba26
1439729981a
1521bae0de1
hex143aaef40

5430243136 has 112 divisors (see below), whose sum is σ = 11441558016. Its totient is φ = 2553790464.

The previous prime is 5430243131. The next prime is 5430243163. The reversal of 5430243136 is 6313420345.

It is a super-2 number, since 2×54302431362 = 58975081032150228992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5430243098 and 5430243107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430243131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10795461 + ... + 10795963.

It is an arithmetic number, because the mean of its divisors is an integer number (102156768).

Almost surely, 25430243136 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 5430243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720779008).

5430243136 is an abundant number, since it is smaller than the sum of its proper divisors (6011314880).

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

5430243136 is a wasteful number, since it uses less digits than its factorization.

5430243136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 5430243136 is about 73690.1834439296. The cubic root of 5430243136 is about 1757.6797869532.

The spelling of 5430243136 in words is "five billion, four hundred thirty million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 47 64 74 94 97 148 188 194 296 376 388 503 592 752 776 1006 1184 1504 1552 1739 2012 2368 3008 3104 3478 3589 4024 4559 6208 6956 7178 8048 9118 13912 14356 16096 18236 18611 23641 27824 28712 32192 36472 37222 47282 48791 55648 57424 72944 74444 94564 97582 111296 114848 145888 148888 168683 189128 195164 229696 291776 297776 337366 378256 390328 595552 674732 756512 780656 874717 1191104 1349464 1513024 1561312 1749434 1805267 2293177 2698928 3122624 3498868 3610534 4586354 5397856 6997736 7221068 9172708 10795712 13995472 14442136 18345416 27990944 28884272 36690832 55981888 57768544 73381664 84847549 115537088 146763328 169695098 339390196 678780392 1357560784 2715121568 5430243136