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66901376 = 272967269
BaseRepresentation
bin1111111100110…
…1010110000000
311122212221102202
43333031112000
5114111321001
610345532332
71441436513
oct377152600
9148787382
1066901376
1134844aa3
121a4a40a8
1310b25319
148c56d7a
155d1796b
hex3fcd580

66901376 has 64 divisors (see below), whose sum is σ = 140454000. Its totient is φ = 31696896.

The previous prime is 66901363. The next prime is 66901391. The reversal of 66901376 is 67310966.

66901376 = 4742 + 4752 + ... + 6742.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×669013762 = 8951588221386752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248570 + ... + 248838.

Almost surely, 266901376 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 66901376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70227000).

66901376 is an abundant number, since it is smaller than the sum of its proper divisors (73552624).

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

66901376 is a wasteful number, since it uses less digits than its factorization.

66901376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 66901376 is about 8179.3261336127. The cubic root of 66901376 is about 405.9554255544.

The spelling of 66901376 in words is "sixty-six million, nine hundred one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 67 116 128 134 232 268 269 464 536 538 928 1072 1076 1856 1943 2144 2152 3712 3886 4288 4304 7772 7801 8576 8608 15544 15602 17216 18023 31088 31204 34432 36046 62176 62408 72092 124352 124816 144184 248704 249632 288368 499264 522667 576736 998528 1045334 1153472 2090668 2306944 4181336 8362672 16725344 33450688 66901376