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64236146240 = 265724096693
BaseRepresentation
bin111011110100110001…
…011100111001000000
320010210201122022221102
4323310301130321000
52023023423134430
645302031313532
74432555143200
oct736461347100
9203721568842
1064236146240
11252736a2472
121054867b8a8
1360992805b6
143175318400
151a0e5c2345
hexef4c5ce40

64236146240 has 84 divisors (see below), whose sum is σ = 177935807196. Its totient is φ = 22023816192.

The previous prime is 64236146209. The next prime is 64236146269. The reversal of 64236146240 is 4264163246.

64236146240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44147052544 + 20089093696 = 210112^2 + 141736^2 .

It is a super-2 number, since 2×642361462402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64236146194 and 64236146203.

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, 2032667 + ... + 2064026.

It is an arithmetic number, because the mean of its divisors is an integer number (2118283419).

Almost surely, 264236146240 is an apocalyptic number.

It is an amenable number.

64236146240 is an abundant number, since it is smaller than the sum of its proper divisors (113699660956).

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

64236146240 is a wasteful number, since it uses less digits than its factorization.

64236146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096724 (or 4096707 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 64236146240 in words is "sixty-four billion, two hundred thirty-six million, one hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 15680 4096693 8193386 16386772 20483465 28676851 32773544 40966930 57353702 65547088 81933860 114707404 131094176 143384255 163867720 200737957 229414808 262188352 286768510 327735440 401475914 458829616 573537020 655470880 802951828 917659232 1003689785 1147074040 1310941760 1605903656 1835318464 2007379570 2294148080 3211807312 4014759140 4588296160 6423614624 8029518280 9176592320 12847229248 16059036560 32118073120 64236146240