Search a number
-
+
66557106112 = 267291123297
BaseRepresentation
bin111101111111000111…
…001101011111000000
320100210110221022100011
4331333013031133000
52042302104343422
650324221434304
74544230032100
oct757707153700
9210713838304
1066557106112
1126254829a22
1210a95a0b994
136379083a33
143315681200
151ae8234077
hexf7f1cd7c0

66557106112 has 84 divisors (see below), whose sum is σ = 153812650464. Its totient is φ = 28491939840.

The previous prime is 66557106089. The next prime is 66557106131. The reversal of 66557106112 is 21160175566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2845248 + ... + 2868544.

Almost surely, 266557106112 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 66557106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76906325232).

66557106112 is an abundant number, since it is smaller than the sum of its proper divisors (87255544352).

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

66557106112 is a wasteful number, since it uses less digits than its factorization.

66557106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24234 (or 24217 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 66557106112 in words is "sixty-six billion, five hundred fifty-seven million, one hundred six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 911 1568 1822 3136 3644 6377 7288 12754 14576 23297 25508 29152 44639 46594 51016 58304 89278 93188 102032 163079 178556 186376 204064 326158 357112 372752 408128 652316 714224 745504 1141553 1304632 1428448 1491008 2283106 2609264 2856896 4566212 5218528 9132424 10437056 18264848 21223567 36529696 42447134 73059392 84894268 148564969 169788536 297129938 339577072 594259876 679154144 1039954783 1188519752 1358308288 2079909566 2377039504 4159819132 4754079008 8319638264 9508158016 16639276528 33278553056 66557106112