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4412880972 = 223511340177
BaseRepresentation
bin1000001110000011…
…10011100001001100
3102101112121120200000
410013001303201030
533014144142342
62005515204300
7214232604123
oct40701634114
912345546600
104412880972
111964a57875
12a31a46690
13554322c96
142dc10caba
151ac63044c
hex10707384c

4412880972 has 72 divisors (see below), whose sum is σ = 11670584016. Its totient is φ = 1457906688.

The previous prime is 4412880917. The next prime is 4412881027. The reversal of 4412880972 is 2790882144.

It is an interprime number because it is at equal distance from previous prime (4412880917) and next prime (4412881027).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89748 + ... + 129924.

Almost surely, 24412880972 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 4412880972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835292008).

4412880972 is an abundant number, since it is smaller than the sum of its proper divisors (7257703044).

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

4412880972 is a wasteful number, since it uses less digits than its factorization.

4412880972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40309 (or 40295 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4412880972 is about 66429.5188301105. The cubic root of 4412880972 is about 1640.2400218796.

The spelling of 4412880972 in words is "four billion, four hundred twelve million, eight hundred eighty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 339 452 486 678 972 1017 1356 2034 3051 4068 6102 9153 12204 18306 27459 36612 40177 54918 80354 109836 120531 160708 241062 361593 482124 723186 1084779 1446372 2169558 3254337 4339116 4540001 6508674 9080002 9763011 13017348 13620003 18160004 19526022 27240006 39052044 40860009 54480012 81720018 122580027 163440036 245160054 367740081 490320108 735480162 1103220243 1470960324 2206440486 4412880972