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4008900996 = 2232738318379
BaseRepresentation
bin1110111011110010…
…1111100110000100
3101100101110021022200
43232330233212010
531202234312441
61501444354500
7201226045002
oct35674574604
911311407280
104008900996
111777a13721
1293a6a5a30
134bb719c89
142a05cda72
15186e327b6
hexeef2f984

4008900996 has 72 divisors (see below), whose sum is σ = 10396757280. Its totient is φ = 1302044544.

The previous prime is 4008900971. The next prime is 4008901003. The reversal of 4008900996 is 6990098004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208935 + ... + 227313.

Almost surely, 24008900996 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 4008900996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198378640).

4008900996 is an abundant number, since it is smaller than the sum of its proper divisors (6387856284).

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

4008900996 is a wasteful number, since it uses less digits than its factorization.

4008900996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18545 (or 18540 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 4008900996 is about 63315.8826519855. The cubic root of 4008900996 is about 1588.5776338712.

The spelling of 4008900996 in words is "four billion, eight million, nine hundred thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 83 146 166 219 249 292 332 438 498 657 747 876 996 1314 1494 2628 2988 6059 12118 18177 18379 24236 36354 36758 54531 55137 72708 73516 109062 110274 165411 218124 220548 330822 661644 1341667 1525457 2683334 3050914 4025001 4576371 5366668 6101828 8050002 9152742 12075003 13729113 16100004 18305484 24150006 27458226 48300012 54916452 111358361 222716722 334075083 445433444 668150166 1002225249 1336300332 2004450498 4008900996