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64544315040 = 2532544822441
BaseRepresentation
bin111100000111001001…
…000001011010100000
320011121012111221001200
4330013021001122200
52024141321040130
645352400401200
74443316424412
oct740711013240
9204535457050
1064544315040
1125411646227
1210613916200
13611807b5ba
1431a42169b2
151a2b696760
hexf072416a0

64544315040 has 72 divisors (see below), whose sum is σ = 220257479988. Its totient is φ = 17211816960.

The previous prime is 64544314981. The next prime is 64544315063. The reversal of 64544315040 is 4051344546.

64544315040 is a `hidden beast` number, since 64 + 5 + 443 + 150 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61696598544 + 2847716496 = 248388^2 + 53364^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64544314986 and 64544315004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22409781 + ... + 22412660.

Almost surely, 264544315040 is an apocalyptic number.

64544315040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64544315040 is an abundant number, since it is smaller than the sum of its proper divisors (155713164948).

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

64544315040 is a wasteful number, since it uses less digits than its factorization.

64544315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44822462 (or 44822451 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 64544315040 its reverse (4051344546), we get a palindrome (68595659586).

The spelling of 64544315040 in words is "sixty-four billion, five hundred forty-four million, three hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 44822441 89644882 134467323 179289764 224112205 268934646 358579528 403401969 448224410 537869292 672336615 717159056 806803938 896448820 1075738584 1344673230 1434318112 1613607876 1792897640 2017009845 2151477168 2689346460 3227215752 3585795280 4034019690 4302954336 5378692920 6454431504 7171590560 8068039380 10757385840 12908863008 16136078760 21514771680 32272157520 64544315040