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5864174064 = 2433716311897
BaseRepresentation
bin1010111011000100…
…00011000111110000
3120010200110220112000
411131202003013300
544002212032224
62405521334000
7265214441250
oct53542030760
916120426460
105864174064
11253a19a851
121177a97300
13725bc05a8
143d8b73960
15244c580c9
hex15d8831f0

5864174064 has 160 divisors (see below), whose sum is σ = 19356618240. Its totient is φ = 1665059328.

The previous prime is 5864174053. The next prime is 5864174081. The reversal of 5864174064 is 4604714685.

5864174064 is a `hidden beast` number, since 586 + 4 + 1 + 7 + 4 + 0 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486964 + ... + 498860.

It is an arithmetic number, because the mean of its divisors is an integer number (120978864).

Almost surely, 25864174064 is an apocalyptic number.

5864174064 is a gapful number since it is divisible by the number (54) 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 5864174064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9678309120).

5864174064 is an abundant number, since it is smaller than the sum of its proper divisors (13492444176).

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

5864174064 is a wasteful number, since it uses less digits than its factorization.

5864174064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12084 (or 12072 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5864174064 is about 76577.8954006964. The cubic root of 5864174064 is about 1803.3040204276.

The spelling of 5864174064 in words is "five billion, eight hundred sixty-four million, one hundred seventy-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 163 168 189 216 252 326 336 378 432 489 504 652 756 978 1008 1141 1304 1467 1512 1956 2282 2608 2934 3024 3423 3912 4401 4564 5868 6846 7824 8802 9128 10269 11736 11897 13692 17604 18256 20538 23472 23794 27384 30807 35208 35691 41076 47588 54768 61614 70416 71382 82152 83279 95176 107073 123228 142764 164304 166558 190352 214146 246456 249837 285528 321219 333116 428292 492912 499674 571056 642438 666232 749511 856584 999348 1284876 1332464 1499022 1713168 1939211 1998696 2248533 2569752 2998044 3878422 3997392 4497066 5139504 5817633 5996088 7756844 8994132 11635266 11992176 13574477 15513688 17452899 17988264 23270532 27148954 31027376 34905798 35976528 40723431 46541064 52358697 54297908 69811596 81446862 93082128 104717394 108595816 122170293 139623192 162893724 209434788 217191632 244340586 279246384 325787448 366510879 418869576 488681172 651574896 733021758 837739152 977362344 1466043516 1954724688 2932087032 5864174064