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3941198295552 = 2932717109233283
BaseRepresentation
bin111001010110100001101…
…110010111001000000000
3111221202220212220121122200
4321112201232113020000
51004033033230424202
612214321141233200
7554512365524340
oct71264156271000
914852825817580
103941198295552
11128a4a8766811
125379b7402800
132278656b6c8b
14d8a7da94d20
156c7bda57e1c
hex395a1b97200

3941198295552 has 960 divisors, whose sum is σ = 13999365768960. Its totient is φ = 1041893425152.

The previous prime is 3941198295509. The next prime is 3941198295557. The reversal of 3941198295552 is 2555928911493.

3941198295552 is a `hidden beast` number, since 3 + 9 + 41 + 19 + 8 + 29 + 5 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3941198295552.

It is not an unprimeable number, because it can be changed into a prime (3941198295557) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13926495603 + ... + 13926495885.

It is an arithmetic number, because the mean of its divisors is an integer number (14582672676).

Almost surely, 23941198295552 is an apocalyptic number.

3941198295552 is a gapful number since it is divisible by the number (32) 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 3941198295552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999682884480).

3941198295552 is an abundant number, since it is smaller than the sum of its proper divisors (10058167473408).

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

3941198295552 is a wasteful number, since it uses less digits than its factorization.

3941198295552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 654 counting only the distinct ones).

The product of its digits is 34992000, while the sum is 63.

The spelling of 3941198295552 in words is "three trillion, nine hundred forty-one billion, one hundred ninety-eight million, two hundred ninety-five thousand, five hundred fifty-two".