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4104601056 = 2532139102533
BaseRepresentation
bin1111010010100111…
…0011110111100000
3101121001112100010100
43310221303313200
531401234213211
61515143502400
7203500350633
oct36451636740
911531470110
104104601056
111816a38586
12966757a00
135054b652a
142ad1c1c1a
15190538156
hexf4a73de0

4104601056 has 72 divisors (see below), whose sum is σ = 11756548440. Its totient is φ = 1358343936.

The previous prime is 4104601049. The next prime is 4104601069. The reversal of 4104601056 is 6501064014.

4104601056 is a `hidden beast` number, since 4 + 1 + 0 + 4 + 601 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11235 + ... + 91298.

It is an arithmetic number, because the mean of its divisors is an integer number (163285395).

Almost surely, 24104601056 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 4104601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878274220).

4104601056 is an abundant number, since it is smaller than the sum of its proper divisors (7651947384).

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

4104601056 is a wasteful number, since it uses less digits than its factorization.

4104601056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102688 (or 102677 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4104601056 is about 64067.1605114508. The cubic root of 4104601056 is about 1601.1191461790.

The spelling of 4104601056 in words is "four billion, one hundred four million, six hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 10008 13344 20016 40032 102533 205066 307599 410132 615198 820264 922797 1230396 1640528 1845594 2460792 3281056 3691188 4921584 7382376 9843168 14252087 14764752 28504174 29529504 42756261 57008348 85512522 114016696 128268783 171025044 228033392 256537566 342050088 456066784 513075132 684100176 1026150264 1368200352 2052300528 4104601056