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4870644100 = 2252729972
BaseRepresentation
bin1001000100101000…
…00010000110000100
3110120102222100121221
410202110002012010
534433341102400
62123150450124
7231461535400
oct44224020604
913512870557
104870644100
11207a396003
12b3b203944
135c810a33a
14342c2c100
151d7903c1a
hex122502184

4870644100 has 81 divisors (see below), whose sum is σ = 12307241583. Its totient is φ = 1668260160.

The previous prime is 4870644089. The next prime is 4870644133. The reversal of 4870644100 is 14460784.

The square root of 4870644100 is 69790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 324648324 + 4545995776 = 18018^2 + 67424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4884802 + ... + 4885798.

Almost surely, 24870644100 is an apocalyptic number.

4870644100 is the 69790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4870644100

4870644100 is an abundant number, since it is smaller than the sum of its proper divisors (7436597483).

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

4870644100 is an equidigital number, since it uses as much as digits as its factorization.

4870644100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The cubic root of 4870644100 is about 1695.1005529694.

The spelling of 4870644100 in words is "four billion, eight hundred seventy million, six hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 997 1225 1994 2450 3988 4900 4985 6979 9970 13958 19940 24925 27916 34895 48853 49850 69790 97706 99700 139580 174475 195412 244265 348950 488530 697900 977060 994009 1221325 1988018 2442650 3976036 4885300 4970045 6958063 9940090 13916126 19880180 24850225 27832252 34790315 48706441 49700450 69580630 97412882 99400900 139161260 173951575 194825764 243532205 347903150 487064410 695806300 974128820 1217661025 2435322050 4870644100