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3895056616656 = 2431914272992919
BaseRepresentation
bin111000101011100011011…
…101110100110011010000
3111210100211012012110120110
4320223203131310303100
51002304033443213111
612141210405041320
7551260063653222
oct70534335646320
914710735173513
103895056616656
11127197aa09497
1252aa7a6b6240
132233c10c13ba
14d6743958412
156b4bcc9e5a6
hex38ae3774cd0

3895056616656 has 80 divisors (see below), whose sum is σ = 10599246604800. Its totient is φ = 1229155507584.

The previous prime is 3895056616651. The next prime is 3895056616673. The reversal of 3895056616656 is 6566166505983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3895056616651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195036 + ... + 2797883.

It is an arithmetic number, because the mean of its divisors is an integer number (132490582560).

Almost surely, 23895056616656 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 3895056616656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299623302400).

3895056616656 is an abundant number, since it is smaller than the sum of its proper divisors (6704189988144).

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

3895056616656 is a wasteful number, since it uses less digits than its factorization.

3895056616656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994376 (or 2994370 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 66.

The spelling of 3895056616656 in words is "three trillion, eight hundred ninety-five billion, fifty-six million, six hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1427 2854 4281 5708 8562 11416 17124 22832 27113 34248 54226 68496 81339 108452 162678 216904 325356 433808 650712 1301424 2992919 5985838 8978757 11971676 17957514 23943352 35915028 47886704 56865461 71830056 113730922 143660112 170596383 227461844 341192766 454923688 682385532 909847376 1364771064 2729542128 4270895413 8541790826 12812686239 17083581652 25625372478 34167163304 51250744956 68334326608 81147012847 102501489912 162294025694 205002979824 243441038541 324588051388 486882077082 649176102776 973764154164 1298352205552 1947528308328 3895056616656