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66877416 = 23321923183
BaseRepresentation
bin1111111100011…
…1011111101000
311122211201120100
43333013133220
5114110034131
610345225400
71441306614
oct377073750
9148751510
1066877416
1134828aa1
121a492260
1310b17448
148c4c344
155d107e6
hex3fc77e8

66877416 has 144 divisors (see below), whose sum is σ = 199704960. Its totient is φ = 20191680.

The previous prime is 66877409. The next prime is 66877471. The reversal of 66877416 is 61477866.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 805711 + ... + 805793.

It is an arithmetic number, because the mean of its divisors is an integer number (1386840).

Almost surely, 266877416 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 66877416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

66877416 is an abundant number, since it is smaller than the sum of its proper divisors (132827544).

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

66877416 is a wasteful number, since it uses less digits than its factorization.

66877416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 66877416 is about 8177.8613341142. The cubic root of 66877416 is about 405.9069569280.

The spelling of 66877416 in words is "sixty-six million, eight hundred seventy-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 83 93 114 124 152 166 171 186 228 248 249 279 332 342 361 372 456 498 558 589 664 684 722 744 747 996 1083 1116 1178 1368 1444 1494 1577 1767 1992 2166 2232 2356 2573 2888 2988 3154 3249 3534 4332 4712 4731 5146 5301 5976 6308 6498 7068 7719 8664 9462 10292 10602 11191 12616 12996 14136 14193 15438 18924 20584 21204 22382 23157 25992 28386 29963 30876 33573 37848 42408 44764 46314 48887 56772 59926 61752 67146 89528 89889 92628 97774 100719 113544 119852 134292 146661 179778 185256 195548 201438 239704 268584 269667 293322 359556 391096 402876 439983 539334 586644 719112 805752 879966 928853 1078668 1173288 1759932 1857706 2157336 2786559 3519864 3715412 5573118 7430824 8359677 11146236 16719354 22292472 33438708 66877416