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5745694560 = 2535107111871
BaseRepresentation
bin1010101100111100…
…00101011101100000
3112211102112112012020
411112132011131200
543231344211220
62350050101440
7262245412044
oct52636053540
915742475166
105745694560
112489327401
12114427a880
137074a9788
143c7132024
15239653040
hex156785760

5745694560 has 96 divisors (see below), whose sum is σ = 18268250112. Its totient is φ = 1517852160.

The previous prime is 5745694553. The next prime is 5745694567. The reversal of 5745694560 is 654965475.

It is an interprime number because it is at equal distance from previous prime (5745694553) and next prime (5745694567).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5745694567) 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, 4576 + ... + 107295.

It is an arithmetic number, because the mean of its divisors is an integer number (190294272).

Almost surely, 25745694560 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 5745694560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9134125056).

5745694560 is an abundant number, since it is smaller than the sum of its proper divisors (12522555552).

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

5745694560 is a wasteful number, since it uses less digits than its factorization.

5745694560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111996 (or 111988 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The square root of 5745694560 is about 75800.3598936047. The cubic root of 5745694560 is about 1791.0766761003.

The spelling of 5745694560 in words is "five billion, seven hundred forty-five million, six hundred ninety-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1070 1284 1605 1712 2140 2568 3210 3424 4280 5136 6420 8560 10272 12840 17120 25680 51360 111871 223742 335613 447484 559355 671226 894968 1118710 1342452 1678065 1789936 2237420 2684904 3356130 3579872 4474840 5369808 6712260 8949680 10739616 11970197 13424520 17899360 23940394 26849040 35910591 47880788 53698080 59850985 71821182 95761576 119701970 143642364 179552955 191523152 239403940 287284728 359105910 383046304 478807880 574569456 718211820 957615760 1149138912 1436423640 1915231520 2872847280 5745694560