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5433406720 = 28571735671
BaseRepresentation
bin1010000111101101…
…10011010100000000
3112000122220122210221
411003312303110000
542111423003340
62255052432424
7251434123630
oct50366632400
915018818727
105433406720
11233901a985
121077778714
13687898981
143978806c0
1521c01844a
hex143db3500

5433406720 has 144 divisors (see below), whose sum is σ = 15749330688. Its totient is φ = 1753251840.

The previous prime is 5433406661. The next prime is 5433406721. The reversal of 5433406720 is 276043345.

It is a super-3 number, since 3×54334067203 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5433406721) 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, 134485 + ... + 170155.

It is an arithmetic number, because the mean of its divisors is an integer number (109370352).

Almost surely, 25433406720 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 5433406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874665344).

5433406720 is an abundant number, since it is smaller than the sum of its proper divisors (10315923968).

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

5433406720 is a wasteful number, since it uses less digits than its factorization.

5433406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35716 (or 35702 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 34.

The square root of 5433406720 is about 73711.6457556064. The cubic root of 5433406720 is about 1758.0210539416.

The spelling of 5433406720 in words is "five billion, four hundred thirty-three million, four hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 256 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1280 1360 1792 1904 2176 2240 2380 2720 3808 4352 4480 4760 5440 7616 8960 9520 10880 15232 19040 21760 30464 35671 38080 71342 76160 142684 152320 178355 249697 285368 356710 499394 570736 606407 713420 998788 1141472 1212814 1248485 1426840 1997576 2282944 2425628 2496970 2853680 3032035 3995152 4244849 4565888 4851256 4993940 5707360 6064070 7990304 8489698 9131776 9702512 9987880 11414720 12128140 15980608 16979396 19405024 19975760 21224245 22829440 24256280 31961216 33958792 38810048 39951520 42448490 45658880 48512560 63922432 67917584 77620096 79903040 84896980 97025120 135835168 155240192 159806080 169793960 194050240 271670336 319612160 339587920 388100480 543340672 679175840 776200960 1086681344 1358351680 2716703360 5433406720