Search a number
-
+
6077684664 = 23363133617
BaseRepresentation
bin1011010100100001…
…00001101110111000
3120200120020101000000
411222100201232320
544421341402124
62443025513000
7303416316162
oct55220415670
916616211000
106077684664
112639770497
1212174a2760
1375b1c831c
14419271932
152588806c9
hex16a421bb8

6077684664 has 112 divisors (see below), whose sum is σ = 17637347520. Its totient is φ = 1960485120.

The previous prime is 6077684653. The next prime is 6077684681. The reversal of 6077684664 is 4664867706.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6077684664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 163984 + ... + 197600.

Almost surely, 26077684664 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 6077684664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8818673760).

6077684664 is an abundant number, since it is smaller than the sum of its proper divisors (11559662856).

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

6077684664 is a wasteful number, since it uses less digits than its factorization.

6077684664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33672 (or 33653 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The square root of 6077684664 is about 77959.5065659089. The cubic root of 6077684664 is about 1824.9293437586.

The spelling of 6077684664 in words is "six billion, seventy-seven million, six hundred eighty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 729 744 837 972 1116 1458 1674 1944 2232 2511 2916 3348 5022 5832 6696 7533 10044 15066 20088 22599 30132 33617 45198 60264 67234 90396 100851 134468 180792 201702 268936 302553 403404 605106 806808 907659 1042127 1210212 1815318 2084254 2420424 2722977 3126381 3630636 4168508 5445954 6252762 7261272 8168931 8337016 9379143 10891908 12505524 16337862 18758286 21783816 24506793 25011048 28137429 32675724 37516572 49013586 56274858 65351448 75033144 84412287 98027172 112549716 168824574 196054344 225099432 253236861 337649148 506473722 675298296 759710583 1012947444 1519421166 2025894888 3038842332 6077684664