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5742061760 = 26543616841
BaseRepresentation
bin1010101100100000…
…01110100011000000
3112211011200221221002
411112100032203000
543224431434020
62345440151132
7262202501561
oct52620164300
915734627832
105742061760
112487275a96
1211430084a8
137068070a6
143c6868168
15239186975
hex15640e8c0

5742061760 has 112 divisors (see below), whose sum is σ = 14222711712. Its totient is φ = 2206310400.

The previous prime is 5742061727. The next prime is 5742061781. The reversal of 5742061760 is 671602475.

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, 835940 + ... + 842780.

Almost surely, 25742061760 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 5742061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111355856).

5742061760 is an abundant number, since it is smaller than the sum of its proper divisors (8480649952).

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

5742061760 is a wasteful number, since it uses less digits than its factorization.

5742061760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6962 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 5742061760 is about 75776.3931577638. The cubic root of 5742061760 is about 1790.6991183153.

The spelling of 5742061760 in words is "five billion, seven hundred forty-two million, sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 61 64 80 86 122 160 172 215 244 305 320 344 430 488 610 688 860 976 1220 1376 1720 1952 2440 2623 2752 3440 3904 4880 5246 6841 6880 9760 10492 13115 13682 13760 19520 20984 26230 27364 34205 41968 52460 54728 68410 83936 104920 109456 136820 167872 209840 218912 273640 294163 417301 419680 437824 547280 588326 834602 839360 1094560 1176652 1470815 1669204 2086505 2189120 2353304 2941630 3338408 4173010 4706608 5883260 6676816 8346020 9413216 11766520 13353632 16692040 17943943 18826432 23533040 26707264 33384080 35887886 47066080 66768160 71775772 89719715 94132160 133536320 143551544 179439430 287103088 358878860 574206176 717757720 1148412352 1435515440 2871030880 5742061760