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5864989312 = 277131926501
BaseRepresentation
bin1010111011001010…
…01010001010000000
3120010202000022211101
411131211022022000
544002414124222
62405551024144
7265224405130
oct53545121200
916122008741
105864989312
11253a6a7306
12117820b054
137261176a0
143d8d06ac0
15244d69927
hex15d94a280

5864989312 has 128 divisors (see below), whose sum is σ = 15137942400. Its totient is φ = 2198016000.

The previous prime is 5864989289. The next prime is 5864989349. The reversal of 5864989312 is 2139894685.

It is a tau number, because it is divible by the number of its divisors (128).

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, 208062 + ... + 234562.

It is an arithmetic number, because the mean of its divisors is an integer number (118265175).

Almost surely, 25864989312 is an apocalyptic number.

5864989312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5864989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7568971200).

5864989312 is an abundant number, since it is smaller than the sum of its proper divisors (9272953088).

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

5864989312 is a wasteful number, since it uses less digits than its factorization.

5864989312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26554 (or 26542 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 55.

The square root of 5864989312 is about 76583.2182139142. The cubic root of 5864989312 is about 1803.3875827422.

The spelling of 5864989312 in words is "five billion, eight hundred sixty-four million, nine hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 152 182 208 224 247 266 304 364 416 448 494 532 608 728 832 896 988 1064 1216 1456 1664 1729 1976 2128 2432 2912 3458 3952 4256 5824 6916 7904 8512 11648 13832 15808 17024 26501 27664 31616 53002 55328 106004 110656 185507 212008 221312 344513 371014 424016 503519 689026 742028 848032 1007038 1378052 1484056 1696064 2014076 2411591 2756104 2968112 3392128 3524633 4028152 4823182 5512208 5936224 6545747 7049266 8056304 9646364 11024416 11872448 13091494 14098532 16112608 19292728 22048832 23744896 26182988 28197064 32225216 38585456 44097664 45820229 52365976 56394128 64450432 77170912 91640458 104731952 112788256 154341824 183280916 209463904 225576512 308683648 366561832 418927808 451153024 733123664 837855616 1466247328 2932494656 5864989312