Search a number
-
+
64424509440 = 23235
BaseRepresentation
bin111100000000000000…
…000000000000000000
320011021212002011200020
4330000000000000000
52023420133300230
645332440453440
74440333203064
oct740000000000
9204255064606
1064424509440
112535aa57535
121059b77a280
1360c92c2005
14319234baa4
151a20dcd810
hexf00000000

64424509440 has 132 divisors (see below), whose sum is σ = 206158430184. Its totient is φ = 17179869184.

The previous prime is 64424509417. The next prime is 64424509451. The reversal of 64424509440 is 4490542446.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)29.

It is a super-2 number, since 2×644245094402 (a number of 22 digits) contains 22 as substring.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2 and base 4.

It is a junction number, because it is equal to n+sod(n) for n = 64424509392 and 64424509401.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5120 × 3072 × 4096.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 64424509440 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12884901886 + ... + 12884901890.

Almost surely, 264424509440 is an apocalyptic number.

64424509440 is a gapful number since it is divisible by the number (60) 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 64424509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103079215092).

64424509440 is an abundant number, since it is smaller than the sum of its proper divisors (141733920744).

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

64424509440 is an frugal number, since it uses more digits than its factorization.

64424509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 64424509440 in words is "sixty-four billion, four hundred twenty-four million, five hundred nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 30720 32768 40960 49152 61440 65536 81920 98304 122880 131072 163840 196608 245760 262144 327680 393216 491520 524288 655360 786432 983040 1048576 1310720 1572864 1966080 2097152 2621440 3145728 3932160 4194304 5242880 6291456 7864320 8388608 10485760 12582912 15728640 16777216 20971520 25165824 31457280 33554432 41943040 50331648 62914560 67108864 83886080 100663296 125829120 134217728 167772160 201326592 251658240 268435456 335544320 402653184 503316480 536870912 671088640 805306368 1006632960 1073741824 1342177280 1610612736 2013265920 2147483648 2684354560 3221225472 4026531840 4294967296 5368709120 6442450944 8053063680 10737418240 12884901888 16106127360 21474836480 32212254720 64424509440