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5742935744 = 267131951899
BaseRepresentation
bin1010101100100111…
…00011111011000000
3112211020100100210212
411112103203323000
543230142420434
62345511013252
7262213101620
oct52623437300
915736310725
105742935744
112487812697
12114336a228
13706a51b40
143c6a14880
152392aa8ce
hex1564e3ec0

5742935744 has 112 divisors (see below), whose sum is σ = 14764512000. Its totient is φ = 2152313856.

The previous prime is 5742935677. The next prime is 5742935771. The reversal of 5742935744 is 4475392475.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 5742935692 and 5742935701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84707 + ... + 136605.

It is an arithmetic number, because the mean of its divisors is an integer number (131826000).

Almost surely, 25742935744 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 5742935744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382256000).

5742935744 is an abundant number, since it is smaller than the sum of its proper divisors (9021576256).

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

5742935744 is a wasteful number, since it uses less digits than its factorization.

5742935744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51950 (or 51940 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 50.

The square root of 5742935744 is about 75782.1598003118. The cubic root of 5742935744 is about 1790.7899662283.

The spelling of 5742935744 in words is "five billion, seven hundred forty-two million, nine hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 133 152 182 208 224 247 266 304 364 416 448 494 532 608 728 832 988 1064 1216 1456 1729 1976 2128 2912 3458 3952 4256 5824 6916 7904 8512 13832 15808 27664 51899 55328 103798 110656 207596 363293 415192 674687 726586 830384 986081 1349374 1453172 1660768 1972162 2698748 2906344 3321536 3944324 4722809 5397496 5812688 6902567 7888648 9445618 10794992 11625376 12819053 13805134 15777296 18891236 21589984 23250752 25638106 27610268 31554592 37782472 43179968 51276212 55220536 63109184 75564944 89733371 102552424 110441072 151129888 179466742 205104848 220882144 302259776 358933484 410209696 441764288 717866968 820419392 1435733936 2871467872 5742935744