Search a number
-
+
64432561408 = 284159104047
BaseRepresentation
bin111100000000011110…
…101101110100000000
320011022102020020220021
4330000132231310000
52023424213431113
645333325223224
74440461510155
oct740036556400
9204272206807
1064432561408
1125364557056
12105a2401b14
1360cab80ca7
14319344622c
151a2196e48d
hexf007add00

64432561408 has 72 divisors (see below), whose sum is σ = 133984690560. Its totient is φ = 30897500160.

The previous prime is 64432561393. The next prime is 64432561411. The reversal of 64432561408 is 80416523446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567241 + ... + 671287.

It is an arithmetic number, because the mean of its divisors is an integer number (1860898480).

Almost surely, 264432561408 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 64432561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66992345280).

64432561408 is an abundant number, since it is smaller than the sum of its proper divisors (69552129152).

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

64432561408 is a wasteful number, since it uses less digits than its factorization.

64432561408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104163 (or 104149 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 64432561408 in words is "sixty-four billion, four hundred thirty-two million, five hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 41 59 64 82 118 128 164 236 256 328 472 656 944 1312 1888 2419 2624 3776 4838 5248 7552 9676 10496 15104 19352 38704 77408 104047 154816 208094 309632 416188 619264 832376 1664752 3329504 4265927 6138773 6659008 8531854 12277546 13318016 17063708 24555092 26636032 34127416 49110184 68254832 98220368 136509664 196440736 251689693 273019328 392881472 503379386 546038656 785762944 1006758772 1092077312 1571525888 2013517544 4027035088 8054070176 16108140352 32216280704 64432561408