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5845255680 = 29351169191
BaseRepresentation
bin1010111000110011…
…11000011000000000
3120002100212202101010
411130121320120000
543432341140210
62404004040520
7264564565515
oct53431703000
916070782333
105845255680
11252a549120
121171693140
13721cc8594
143d644b30c
1524326c920
hex15c678600

5845255680 has 160 divisors (see below), whose sum is σ = 20385623808. Its totient is φ = 1417011200.

The previous prime is 5845255657. The next prime is 5845255709. The reversal of 5845255680 is 865525485.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49885 + ... + 119075.

Almost surely, 25845255680 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 5845255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10192811904).

5845255680 is an abundant number, since it is smaller than the sum of its proper divisors (14540368128).

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

5845255680 is a wasteful number, since it uses less digits than its factorization.

5845255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69228 (or 69212 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 48.

The square root of 5845255680 is about 76454.2718230970. The cubic root of 5845255680 is about 1801.3627211544.

The spelling of 5845255680 in words is "five billion, eight hundred forty-five million, two hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 7040 7680 8448 10560 14080 16896 21120 28160 42240 69191 84480 138382 207573 276764 345955 415146 553528 691910 761101 830292 1037865 1107056 1383820 1522202 1660584 2075730 2214112 2283303 2767640 3044404 3321168 3805505 4151460 4428224 4566606 5535280 6088808 6642336 7611010 8302920 8856448 9133212 11070560 11416515 12177616 13284672 15222020 16605840 17712896 18266424 22141120 22833030 24355232 26569344 30444040 33211680 35425792 36532848 44282240 45666060 48710464 53138688 60888080 66423360 73065696 88564480 91332120 97420928 106277376 121776160 132846720 146131392 177128960 182664240 194841856 243552320 265693440 292262784 365328480 389683712 487104640 531386880 584525568 730656960 974209280 1169051136 1461313920 1948418560 2922627840 5845255680