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4364050006016 = 215233571589
BaseRepresentation
bin111111100000010101101…
…001101000000000000000
3120110012101011000011020022
4333200111221220000000
51033000033300143031
613140452241033012
7630202141001051
oct77402551500000
916405334004208
104364050006016
111432868504438
125a5947625768
132586b3463c8c
14111314b84728
15787bb71d97b
hex3f815a68000

4364050006016 has 64 divisors (see below), whose sum is σ = 8765441252100. Its totient is φ = 2172656287744.

The previous prime is 4364050005929. The next prime is 4364050006031. The reversal of 4364050006016 is 6106000504634.

It can be written as a sum of positive squares in 2 ways, for example, as 4356804591616 + 7245414400 = 2087296^2 + 85120^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×43640500060163 (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7349150 + ... + 7920738.

Almost surely, 24364050006016 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 4364050006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382720626050).

4364050006016 is an abundant number, since it is smaller than the sum of its proper divisors (4401391246084).

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

4364050006016 is an frugal number, since it uses more digits than its factorization.

4364050006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571852 (or 571824 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 4364050006016 in words is "four trillion, three hundred sixty-four billion, fifty million, six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 233 256 466 512 932 1024 1864 2048 3728 4096 7456 8192 14912 16384 29824 32768 59648 119296 238592 477184 571589 954368 1143178 1908736 2286356 3817472 4572712 7634944 9145424 18290848 36581696 73163392 133180237 146326784 266360474 292653568 532720948 585307136 1065441896 1170614272 2130883792 2341228544 4261767584 4682457088 8523535168 9364914176 17047070336 18729828352 34094140672 68188281344 136376562688 272753125376 545506250752 1091012501504 2182025003008 4364050006016