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66380797252 = 22721197317411
BaseRepresentation
bin111101110100100110…
…101001010101000100
320100100012011220001101
4331310212221111010
52041421441003002
650254522505444
74536656316100
oct756446512504
9210305156041
1066380797252
1126174258520
1210a46965284
13634b6a2c73
1432da0a8900
151ad7a09587
hexf749a9544

66380797252 has 72 divisors (see below), whose sum is σ = 148937328288. Its totient is φ = 25595942400.

The previous prime is 66380797199. The next prime is 66380797267. The reversal of 66380797252 is 25279708366.

66380797252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×663807972522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66380797193 and 66380797202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50427 + ... + 367837.

It is an arithmetic number, because the mean of its divisors is an integer number (2068574004).

Almost surely, 266380797252 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 66380797252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74468664144).

66380797252 is an abundant number, since it is smaller than the sum of its proper divisors (82556531036).

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

66380797252 is a wasteful number, since it uses less digits than its factorization.

66380797252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317537 (or 317528 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 66380797252 in words is "sixty-six billion, three hundred eighty million, seven hundred ninety-seven thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 97 98 154 194 196 308 388 539 679 1067 1078 1358 2134 2156 2716 4268 4753 7469 9506 14938 19012 29876 52283 104566 209132 317411 634822 1269644 2221877 3491521 4443754 6983042 8887508 13966084 15553139 24440647 30788867 31106278 48881294 61577734 62212556 97762588 123155468 171084529 215522069 338677537 342169058 431044138 677355074 684338116 862088276 1354710148 1508654483 2370742759 3017308966 4741485518 6034617932 9482971036 16595199313 33190398626 66380797252