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4612020072 = 2331123837331
BaseRepresentation
bin1000100101110010…
…11101011101101000
3102220102022220011020
410102321131131220
533421134120242
62041351332440
7222201344442
oct42271353550
912812286136
104612020072
111a57401a40
12a88681120
1358666847a
1431a749492
151bed696ec
hex112e5d768

4612020072 has 64 divisors (see below), whose sum is σ = 12585231360. Its totient is φ = 1396804800.

The previous prime is 4612020047. The next prime is 4612020073. The reversal of 4612020072 is 2700202164.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4612020073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625447 + ... + 632777.

It is an arithmetic number, because the mean of its divisors is an integer number (196644240).

Almost surely, 24612020072 is an apocalyptic number.

It is an amenable number.

4612020072 is an abundant number, since it is smaller than the sum of its proper divisors (7973211288).

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

4612020072 is a wasteful number, since it uses less digits than its factorization.

4612020072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9734 (or 9730 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4612020072 is about 67911.8551653539. The cubic root of 4612020072 is about 1664.5508348412.

The spelling of 4612020072 in words is "four billion, six hundred twelve million, twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2383 4766 7149 7331 9532 14298 14662 19064 21993 26213 28596 29324 43986 52426 57192 58648 78639 80641 87972 104852 157278 161282 175944 209704 241923 314556 322564 483846 629112 645128 967692 1935384 17469773 34939546 52409319 69879092 104818638 139758184 192167503 209637276 384335006 419274552 576502509 768670012 1153005018 1537340024 2306010036 4612020072