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3861868806048 = 2531116372234009
BaseRepresentation
bin111000001100101001010…
…100010111111110100000
3111200012011021111000010210
4320030221110113332200
51001233101403243143
612114041255054120
7546003465143001
oct70145124277640
914605137430123
103861868806048
11125989a298140
12524558071340
13220232467a46
14d4cb5db91a8
156a6c9384033
hex38329517fa0

3861868806048 has 96 divisors (see below), whose sum is σ = 11065748541120. Its totient is φ = 1169547868160.

The previous prime is 3861868806011. The next prime is 3861868806053. The reversal of 3861868806048 is 8406088681683.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a self number, because there is not a number n which added to its sum of digits gives 3861868806048.

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, 611668 + ... + 2845676.

It is an arithmetic number, because the mean of its divisors is an integer number (115268213970).

Almost surely, 23861868806048 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 3861868806048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532874270560).

3861868806048 is an abundant number, since it is smaller than the sum of its proper divisors (7203879735072).

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

3861868806048 is a wasteful number, since it uses less digits than its factorization.

3861868806048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235670 (or 2235662 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 66.

The spelling of 3861868806048 in words is "three trillion, eight hundred sixty-one billion, eight hundred sixty-eight million, eight hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1637 3274 4911 6548 9822 13096 18007 19644 26192 36014 39288 52384 54021 72028 78576 108042 144056 157152 216084 288112 432168 576224 864336 1728672 2234009 4468018 6702027 8936036 13404054 17872072 24574099 26808108 35744144 49148198 53616216 71488288 73722297 98296396 107232432 147444594 196592792 214464864 294889188 393185584 589778376 786371168 1179556752 2359113504 3657072733 7314145466 10971218199 14628290932 21942436398 29256581864 40227800063 43884872796 58513163728 80455600126 87769745592 117026327456 120683400189 160911200252 175539491184 241366800378 321822400504 351078982368 482733600756 643644801008 965467201512 1287289602016 1930934403024 3861868806048