Search a number
-
+
5372964864 = 21232236337
BaseRepresentation
bin1010000000100000…
…01111000000000000
3111212110011220011200
411000100033000000
542000434333424
62245053141200
7250101306411
oct50020170000
914773156150
105372964864
112307998033
12105b48a800
136781c5867
1438d829808
15216a798c9
hex14040f000

5372964864 has 156 divisors (see below), whose sum is σ = 16197342096. Its totient is φ = 1712848896.

The previous prime is 5372964833. The next prime is 5372964871. The reversal of 5372964864 is 4684692735.

5372964864 is a `hidden beast` number, since 5 + 3 + 72 + 96 + 486 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5372964864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 844704 + ... + 851040.

It is an arithmetic number, because the mean of its divisors is an integer number (103829116).

Almost surely, 25372964864 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 5372964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8098671048).

5372964864 is an abundant number, since it is smaller than the sum of its proper divisors (10824377232).

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

5372964864 is a wasteful number, since it uses less digits than its factorization.

5372964864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6365 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 5372964864 is about 73300.5106667068. The cubic root of 5372964864 is about 1751.4779203773.

The spelling of 5372964864 in words is "five billion, three hundred seventy-two million, nine hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1104 1152 1472 1536 1656 2048 2208 2304 2944 3072 3312 4096 4416 4608 5888 6144 6337 6624 8832 9216 11776 12288 12674 13248 17664 18432 19011 23552 25348 26496 35328 36864 38022 47104 50696 52992 57033 70656 76044 94208 101392 105984 114066 141312 145751 152088 202784 211968 228132 282624 291502 304176 405568 423936 437253 456264 583004 608352 811136 847872 874506 912528 1166008 1216704 1311759 1622272 1749012 1825056 2332016 2433408 2623518 3244544 3498024 3650112 4664032 4866816 5247036 6489088 6996048 7300224 9328064 9733632 10494072 12978176 13992096 14600448 18656128 19467264 20988144 25956352 27984192 29200896 37312256 38934528 41976288 55968384 58401792 74624512 77869056 83952576 111936768 116803584 149249024 167905152 223873536 233607168 298498048 335810304 447747072 596996096 671620608 895494144 1343241216 1790988288 2686482432 5372964864