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380146467064 = 237132112474783
BaseRepresentation
bin1011000100000100111…
…11101100000011111000
31100100020001122101210011
411202002133230003320
522212014443421224
6450345322031304
736315245440540
oct5420237540370
91310201571704
10380146467064
11137245852241
1261812348534
1329b033c6510
1414583526320
159d4d960394
hex58827ec0f8

380146467064 has 64 divisors (see below), whose sum is σ = 881419069440. Its totient is φ = 149674815360.

The previous prime is 380146467031. The next prime is 380146467121. The reversal of 380146467064 is 460764641083.

It is a super-2 number, since 2×3801464670642 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 380146466999 and 380146467017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083784 + ... + 1390999.

It is an arithmetic number, because the mean of its divisors is an integer number (13772172960).

Almost surely, 2380146467064 is an apocalyptic number.

It is an amenable number.

380146467064 is an abundant number, since it is smaller than the sum of its proper divisors (501272602376).

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

380146467064 is a wasteful number, since it uses less digits than its factorization.

380146467064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475020 (or 2475016 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 380146467064 in words is "three hundred eighty billion, one hundred forty-six million, four hundred sixty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 211 364 422 728 844 1477 1688 2743 2954 5486 5908 10972 11816 19201 21944 38402 76804 153608 2474783 4949566 9899132 17323481 19798264 32172179 34646962 64344358 69293924 128688716 138587848 225205253 257377432 450410506 522179213 900821012 1044358426 1801642024 2088716852 3655254491 4177433704 6788329769 7310508982 13576659538 14621017964 27153319076 29242035928 47518308383 54306638152 95036616766 190073233532 380146467064