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5966400160 = 25579754919
BaseRepresentation
bin1011000111010000…
…00000101010100000
3120101210211112100201
411203220000222200
544204344301120
62424012354544
7300565364440
oct54350005240
916353745321
105966400160
112591971826
1211a6175a54
137411333c6
14408584120
1524dbec40a
hex163a00aa0

5966400160 has 96 divisors (see below), whose sum is σ = 16275651840. Its totient is φ = 2024497152.

The previous prime is 5966400133. The next prime is 5966400161. The reversal of 5966400160 is 610046695.

It is not an unprimeable number, because it can be changed into a prime (5966400161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81181 + ... + 136099.

It is an arithmetic number, because the mean of its divisors is an integer number (169538040).

Almost surely, 25966400160 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 5966400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8137825920).

5966400160 is an abundant number, since it is smaller than the sum of its proper divisors (10309251680).

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

5966400160 is a wasteful number, since it uses less digits than its factorization.

5966400160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55038 (or 55030 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 5966400160 is about 77242.4763973813. The cubic root of 5966400160 is about 1813.7222991769.

The spelling of 5966400160 in words is "five billion, nine hundred sixty-six million, four hundred thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 97 112 140 160 194 224 280 388 485 560 679 776 970 1120 1358 1552 1940 2716 3104 3395 3880 5432 6790 7760 10864 13580 15520 21728 27160 54320 54919 108640 109838 219676 274595 384433 439352 549190 768866 878704 1098380 1537732 1757408 1922165 2196760 3075464 3844330 4393520 5327143 6150928 7688660 8787040 10654286 12301856 15377320 21308572 26635715 30754640 37290001 42617144 53271430 61509280 74580002 85234288 106542860 149160004 170468576 186450005 213085720 298320008 372900010 426171440 596640016 745800020 852342880 1193280032 1491600040 2983200080 5966400160