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146466722664 = 2334376108889
BaseRepresentation
bin1000100001101000011…
…0001101001101101000
3112000001111222102120000
42020122012031031220
54344430440111124
6151141430103000
713403403413103
oct2103206151550
9460044872500
10146466722664
1157130712639
12244774aaa60
1310a72561202
14713640d73a
153c237ec6c9
hex221a18d368

146466722664 has 80 divisors (see below), whose sum is σ = 421330143300. Its totient is φ = 47502713088.

The previous prime is 146466722651. The next prime is 146466722719. The reversal of 146466722664 is 466227664641.

It can be written as a sum of positive squares in 2 ways, for example, as 138415249764 + 8051472900 = 372042^2 + 89730^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 146466722664.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3030469 + ... + 3078420.

Almost surely, 2146466722664 is an apocalyptic number.

It is an amenable number.

146466722664 is an abundant number, since it is smaller than the sum of its proper divisors (274863420636).

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

146466722664 is a wasteful number, since it uses less digits than its factorization.

146466722664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108944 (or 6108931 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 146466722664 in words is "one hundred forty-six billion, four hundred sixty-six million, seven hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2664 2997 3996 5994 7992 11988 23976 6108889 12217778 18326667 24435556 36653334 48871112 54980001 73306668 109960002 146613336 164940003 219920004 226028893 329880006 439840008 452057786 494820009 659760012 678086679 904115572 989640018 1319520024 1356173358 1808231144 1979280036 2034260037 2712346716 3958560072 4068520074 5424693432 6102780111 8137040148 12205560222 16274080296 18308340333 24411120444 36616680666 48822240888 73233361332 146466722664