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4064931667968 = 2133751220243
BaseRepresentation
bin111011001001110000110…
…011101110000000000000
3112101121022002002012022120
4323021300303232000000
51013044440001333333
612351223121004240
7566452540036413
oct73116063560000
915347262065276
104064931667968
111327a22a54886
12557989483680
132364241aac42
14100a5ab87b7a
1570b11667db3
hex3b270cee000

4064931667968 has 112 divisors (see below), whose sum is σ = 10853638415616. Its totient is φ = 1353166848000.

The previous prime is 4064931667957. The next prime is 4064931667987. The reversal of 4064931667968 is 8697661394604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18346455 + ... + 18566697.

Almost surely, 24064931667968 is an apocalyptic number.

4064931667968 is a gapful number since it is divisible by the number (48) 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 4064931667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426819207808).

4064931667968 is an abundant number, since it is smaller than the sum of its proper divisors (6788706747648).

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

4064931667968 is an equidigital number, since it uses as much as digits as its factorization.

4064931667968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221023 (or 220999 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 69.

The spelling of 4064931667968 in words is "four trillion, sixty-four billion, nine hundred thirty-one million, six hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 751 768 1024 1502 1536 2048 2253 3004 3072 4096 4506 6008 6144 8192 9012 12016 12288 18024 24032 24576 36048 48064 72096 96128 144192 192256 220243 288384 384512 440486 576768 660729 769024 880972 1153536 1321458 1538048 1761944 2307072 2642916 3076096 3523888 4614144 5285832 6152192 7047776 9228288 10571664 14095552 18456576 21143328 28191104 42286656 56382208 84573312 112764416 165402493 169146624 225528832 330804986 338293248 451057664 496207479 661609972 676586496 902115328 992414958 1323219944 1353172992 1804230656 1984829916 2646439888 2706345984 3969659832 5292879776 5412691968 7939319664 10585759552 15878639328 21171519104 31757278656 42343038208 63514557312 84686076416 127029114624 169372152832 254058229248 338744305664 508116458496 677488611328 1016232916992 1354977222656 2032465833984 4064931667968