Search a number
-
+
4011064008 = 2337192943331
BaseRepresentation
bin1110111100010011…
…1111101011001000
3101100112112011102020
43233010333223020
531203313022013
61502003004440
7201253324110
oct35704775310
911315464366
104011064008
111779160836
1293b369720
134bbcc6673
142a09d4040
1518720d623
hexef13fac8

4011064008 has 128 divisors (see below), whose sum is σ = 12479616000. Its totient is φ = 1048239360.

The previous prime is 4011063983. The next prime is 4011064019. The reversal of 4011064008 is 8004601104.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 70903 + ... + 114233.

It is an arithmetic number, because the mean of its divisors is an integer number (97497000).

Almost surely, 24011064008 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 4011064008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239808000).

4011064008 is an abundant number, since it is smaller than the sum of its proper divisors (8468551992).

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

4011064008 is a wasteful number, since it uses less digits than its factorization.

4011064008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43395 (or 43391 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4011064008 is about 63332.9614655749. The cubic root of 4011064008 is about 1588.8632894400.

The spelling of 4011064008 in words is "four billion, eleven million, sixty-four thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 29 38 42 56 57 58 76 84 87 114 116 133 152 168 174 203 228 232 266 348 399 406 456 532 551 609 696 798 812 1064 1102 1218 1596 1624 1653 2204 2436 3192 3306 3857 4408 4872 6612 7714 11571 13224 15428 23142 30856 43331 46284 86662 92568 129993 173324 259986 303317 346648 519972 606634 823289 909951 1039944 1213268 1256599 1646578 1819902 2426536 2469867 2513198 3293156 3639804 3769797 4939734 5026396 5763023 6586312 7279608 7539594 8796193 9879468 10052792 11526046 15079188 17289069 17592386 19758936 23052092 23875381 26388579 30158376 34578138 35184772 46104184 47750762 52777158 69156276 70369544 71626143 95501524 105554316 138312552 143252286 167127667 191003048 211108632 286504572 334255334 501383001 573009144 668510668 1002766002 1337021336 2005532004 4011064008