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3844345511680 = 28523312890107
BaseRepresentation
bin110111111100010100110…
…110010011111100000000
3111121111221001022102022021
4313330110312103330000
51000441204422333210
612102022402051224
7544513315455142
oct67742466237400
914544831272267
103844345511680
111252417901783
12521087649b14
1321b69bc247cb
14d40d29dcc92
156a000c91bda
hex37f14d93f00

3844345511680 has 72 divisors (see below), whose sum is σ = 9247930643952. Its totient is φ = 1531138351104.

The previous prime is 3844345511597. The next prime is 3844345511687. The reversal of 3844345511680 is 861155434483.

It is a super-2 number, since 2×38443455116802 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3844345511687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6146814 + ... + 6743293.

It is an arithmetic number, because the mean of its divisors is an integer number (128443481166).

Almost surely, 23844345511680 is an apocalyptic number.

It is an amenable number.

3844345511680 is an abundant number, since it is smaller than the sum of its proper divisors (5403585132272).

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

3844345511680 is a wasteful number, since it uses less digits than its factorization.

3844345511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12890361 (or 12890347 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 52.

The spelling of 3844345511680 in words is "three trillion, eight hundred forty-four billion, three hundred forty-five million, five hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 233 256 320 466 640 932 1165 1280 1864 2330 3728 4660 7456 9320 14912 18640 29824 37280 59648 74560 149120 298240 12890107 25780214 51560428 64450535 103120856 128901070 206241712 257802140 412483424 515604280 824966848 1031208560 1649933696 2062417120 3003394931 3299867392 4124834240 6006789862 8249668480 12013579724 15016974655 16499336960 24027159448 30033949310 48054318896 60067898620 96108637792 120135797240 192217275584 240271594480 384434551168 480543188960 768869102336 961086377920 1922172755840 3844345511680