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46667768976 = 24364001009
BaseRepresentation
bin101011011101100111…
…011010010010010000
311110110100122022000000
4223131213122102100
51231033422101401
633234444130000
73241320330333
oct533547322220
9143410568000
1046667768976
1118878814614
129064b36900
1345295b40aa
142389d6461a
151332077186
hexadd9da490

46667768976 has 70 divisors (see below), whose sum is σ = 135566221830. Its totient is φ = 15555919104.

The previous prime is 46667768951. The next prime is 46667768981. The reversal of 46667768976 is 67986776664.

46667768976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 45358776576 + 1308992400 = 212976^2 + 36180^2 .

It is a super-2 number, since 2×466677689762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1988841 + ... + 2012168.

Almost surely, 246667768976 is an apocalyptic number.

It is an amenable number.

46667768976 is an abundant number, since it is smaller than the sum of its proper divisors (88898452854).

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

46667768976 is an equidigital number, since it uses as much as digits as its factorization.

46667768976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001035 (or 4001014 counting only the distinct ones).

The product of its digits is 768144384, while the sum is 72.

The spelling of 46667768976 in words is "forty-six billion, six hundred sixty-seven million, seven hundred sixty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 4001009 8002018 12003027 16004036 24006054 32008072 36009081 48012108 64016144 72018162 96024216 108027243 144036324 192048432 216054486 288072648 324081729 432108972 576145296 648163458 864217944 972245187 1296326916 1728435888 1944490374 2592653832 2916735561 3888980748 5185307664 5833471122 7777961496 11666942244 15555922992 23333884488 46667768976