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3077216688 = 2437134331627
BaseRepresentation
bin1011011101101010…
…1001100110110000
321221110022210201110
42313122221212300
522300231413223
61225203233320
7136153624140
oct26732514660
97843283643
103077216688
11133a010497
1271a678840
133a06abaa0
14212986920
15130247d93
hexb76a99b0

3077216688 has 160 divisors (see below), whose sum is σ = 9812594176. Its totient is φ = 809201664.

The previous prime is 3077216663. The next prime is 3077216743. The reversal of 3077216688 is 8866127703.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 1890531 + ... + 1892157.

Almost surely, 23077216688 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 3077216688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906297088).

3077216688 is an abundant number, since it is smaller than the sum of its proper divisors (6735377488).

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

3077216688 is a wasteful number, since it uses less digits than its factorization.

3077216688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 3077216688 is about 55472.6661338717. Note that the first 3 decimals coincide. The cubic root of 3077216688 is about 1454.5188692736.

The spelling of 3077216688 in words is "three billion, seventy-seven million, two hundred sixteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 433 546 624 728 866 1092 1299 1456 1627 1732 2184 2598 3031 3254 3464 4368 4881 5196 5629 6062 6508 6928 9093 9762 10392 11258 11389 12124 13016 16887 18186 19524 20784 21151 22516 22778 24248 26032 33774 34167 36372 39048 39403 42302 45032 45556 48496 63453 67548 68334 72744 78096 78806 84604 90064 91112 118209 126906 135096 136668 145488 148057 157612 169208 182224 236418 253812 270192 273336 296114 315224 338416 444171 472836 507624 546672 592228 630448 704491 888342 945672 1015248 1184456 1408982 1776684 1891344 2113473 2368912 2817964 3553368 4226946 4931437 5635928 7106736 8453892 9158383 9862874 11271856 14794311 16907784 18316766 19725748 27475149 29588622 33815568 36633532 39451496 54950298 59177244 64108681 73267064 78902992 109900596 118354488 128217362 146534128 192326043 219801192 236708976 256434724 384652086 439602384 512869448 769304172 1025738896 1538608344 3077216688