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4005051696 = 243331299063
BaseRepresentation
bin1110111010111000…
…0011110100110000
3101100010012201002000
43232232003310300
531200243123241
61501230054000
7201151243362
oct35656036460
911303181060
104005051696
111775824688
1293934a300
134ba99cb99
1429dcaad32
15186921eb6
hexeeb83d30

4005051696 has 80 divisors (see below), whose sum is σ = 11866859520. Its totient is φ = 1291947840.

The previous prime is 4005051613. The next prime is 4005051707. The reversal of 4005051696 is 6961505004.

4005051696 is a `hidden beast` number, since 4 + 0 + 0 + 50 + 516 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4005051696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136140 + ... + 162923.

It is an arithmetic number, because the mean of its divisors is an integer number (148335744).

Almost surely, 24005051696 is an apocalyptic number.

It is an amenable number.

4005051696 is an abundant number, since it is smaller than the sum of its proper divisors (7861807824).

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

4005051696 is a wasteful number, since it uses less digits than its factorization.

4005051696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299111 (or 299099 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 4005051696 is about 63285.4777654400. The cubic root of 4005051696 is about 1588.0690264754.

The spelling of 4005051696 in words is "four billion, five million, fifty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 299063 598126 897189 1196252 1794378 2392504 2691567 3588756 4785008 5383134 7177512 8074701 9270953 10766268 14355024 16149402 18541906 21532536 27812859 32298804 37083812 43065072 55625718 64597608 74167624 83438577 111251436 129195216 148335248 166877154 222502872 250315731 333754308 445005744 500631462 667508616 1001262924 1335017232 2002525848 4005051696