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4412945472 = 263131993053
BaseRepresentation
bin1000001110000100…
…00011010001000000
3102101112201212010220
410013002003101000
533014203223342
62005520423040
7214233263145
oct40702032100
912345655126
104412945472
111964aa1281
12a31a77a80
13554346450
142dc1283cc
151ac6445ec
hex107083440

4412945472 has 112 divisors (see below), whose sum is σ = 13236000960. Its totient is φ = 1286350848.

The previous prime is 4412945461. The next prime is 4412945483. The reversal of 4412945472 is 2745492144.

It is an interprime number because it is at equal distance from previous prime (4412945461) and next prime (4412945483).

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, 898 + ... + 93950.

It is an arithmetic number, because the mean of its divisors is an integer number (118178580).

Almost surely, 24412945472 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 4412945472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618000480).

4412945472 is an abundant number, since it is smaller than the sum of its proper divisors (8823055488).

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

4412945472 is a wasteful number, since it uses less digits than its factorization.

4412945472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93100 (or 93090 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 4412945472 is about 66430.0043052836. The cubic root of 4412945472 is about 1640.2480132551.

The spelling of 4412945472 in words is "four billion, four hundred twelve million, nine hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1482 1824 1976 2496 2964 3648 3952 5928 7904 11856 15808 23712 47424 93053 186106 279159 372212 558318 744424 1116636 1209689 1488848 1768007 2233272 2419378 2977696 3536014 3629067 4466544 4838756 5304021 5955392 7072028 7258134 8933088 9677512 10608042 14144056 14516268 17866176 19355024 21216084 22984091 28288112 29032536 38710048 42432168 45968182 56576224 58065072 68952273 77420096 84864336 91936364 113152448 116130144 137904546 169728672 183872728 232260288 275809092 339457344 367745456 551618184 735490912 1103236368 1470981824 2206472736 4412945472