Search a number
-
+
68512033656 = 23341123417899
BaseRepresentation
bin111111110011101000…
…101010101101111000
320112211201110220210000
4333303220222231320
52110303040034111
651250214353000
74643535451233
oct776350525570
9215751426700
1068512033656
1127068290a20
121134065b760
1365cb0a97b1
14345d16641a
151baeb91c56
hexff3a2ab78

68512033656 has 160 divisors (see below), whose sum is σ = 218444688000. Its totient is φ = 19858512960.

The previous prime is 68512033643. The next prime is 68512033661. The reversal of 68512033656 is 65633021586.

68512033656 is a `hidden beast` number, since 6 + 85 + 1 + 203 + 365 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45006 + ... + 372893.

It is an arithmetic number, because the mean of its divisors is an integer number (1365279300).

Almost surely, 268512033656 is an apocalyptic number.

68512033656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68512033656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109222344000).

68512033656 is an abundant number, since it is smaller than the sum of its proper divisors (149932654344).

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

68512033656 is a wasteful number, since it uses less digits than its factorization.

68512033656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417951 (or 417938 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 68512033656 in words is "sixty-eight billion, five hundred twelve million, thirty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 81 88 92 99 108 132 138 162 184 198 207 216 253 264 276 297 324 396 414 506 552 594 621 648 759 792 828 891 1012 1188 1242 1518 1656 1782 1863 2024 2277 2376 2484 3036 3564 3726 4554 4968 6072 6831 7128 7452 9108 13662 14904 18216 20493 27324 40986 54648 81972 163944 417899 835798 1253697 1671596 2507394 3343192 3761091 4596889 5014788 7522182 9193778 9611677 10029576 11283273 13790667 15044364 18387556 19223354 22566546 27581334 28835031 30088728 33849819 36775112 38446708 41372001 45133092 55162668 57670062 67699638 76893416 82744002 86505093 90266184 105728447 110325336 115340124 124116003 135399276 165488004 173010186 211456894 230680248 248232006 259515279 270798552 317185341 330976008 346020372 372348009 422913788 496464012 519030558 634370682 692040744 744696018 778545837 845827576 951556023 992928024 1038061116 1268741364 1489392036 1557091674 1903112046 2076122232 2537482728 2854668069 2978784072 3114183348 3806224092 5709336138 6228366696 7612448184 8564004207 11418672276 17128008414 22837344552 34256016828 68512033656