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4027027536064 = 261373193343543
BaseRepresentation
bin111010100110011101100…
…010111011100011000000
3112020222110110202210100101
4322212131202323203000
51011434323022123224
612321554011532144
7563641332163261
oct72463542734300
915228413683311
104027027536064
111312942072535
1255056b45a054
132329933ca920
14dcca2aac968
156eb43b7e044
hex3a99d8bb8c0

4027027536064 has 112 divisors (see below), whose sum is σ = 8768949606592. Its totient is φ = 1823663849472.

The previous prime is 4027027536029. The next prime is 4027027536107. The reversal of 4027027536064 is 4606357207204.

4027027536064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40270275360642 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11550277 + ... + 11893819.

It is an arithmetic number, because the mean of its divisors is an integer number (78294192916).

Almost surely, 24027027536064 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 4027027536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384474803296).

4027027536064 is an abundant number, since it is smaller than the sum of its proper divisors (4741922070528).

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

4027027536064 is a wasteful number, since it uses less digits than its factorization.

4027027536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343834 (or 343824 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 46.

The spelling of 4027027536064 in words is "four trillion, twenty-seven billion, twenty-seven million, five hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 146 193 208 292 386 416 584 772 832 949 1168 1544 1898 2336 2509 3088 3796 4672 5018 6176 7592 10036 12352 14089 15184 20072 28178 30368 40144 56356 60736 80288 112712 160576 183157 225424 343543 366314 450848 687086 732628 901696 1374172 1465256 2748344 2930512 4466059 5496688 5861024 8932118 10993376 11722048 17864236 21986752 25078639 35728472 50157278 66303799 71456944 100314556 132607598 142913888 200629112 265215196 285827776 326022307 401258224 530430392 652044614 802516448 861949387 1060860784 1304089228 1605032896 1723898774 2121721568 2608178456 3447797548 4243443136 4840177327 5216356912 6895595096 9680354654 10432713824 13791190192 19360709308 20865427648 27582380384 38721418616 55164760768 62922305251 77442837232 125844610502 154885674464 251689221004 309771348928 503378442008 1006756884016 2013513768032 4027027536064