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3563625420 = 22325101211929
BaseRepresentation
bin1101010001101000…
…1001101111001100
3100012100120221001200
43110122021233030
524244242003140
61345340505500
7154211213325
oct32432115714
910170527050
103563625420
111569634583
1283554b290
1344a3b57c4
1425b40144c
1515ccc9030
hexd4689bcc

3563625420 has 144 divisors (see below), whose sum is σ = 10980234720. Its totient is φ = 935424000.

The previous prime is 3563625419. The next prime is 3563625467. The reversal of 3563625420 is 245263653.

3563625420 is a `hidden beast` number, since 3 + 5 + 6 + 3 + 625 + 4 + 20 = 666.

3563625420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×35636254202 = 25398852268140352800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3835516 + ... + 3836444.

It is an arithmetic number, because the mean of its divisors is an integer number (76251630).

Almost surely, 23563625420 is an apocalyptic number.

3563625420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3563625420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490117360).

3563625420 is an abundant number, since it is smaller than the sum of its proper divisors (7416609300).

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

3563625420 is a wasteful number, since it uses less digits than its factorization.

3563625420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3563625420 is about 59696.1089184211. The cubic root of 3563625420 is about 1527.4394953368.

The spelling of 3563625420 in words is "three billion, five hundred sixty-three million, six hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 211 303 404 422 505 606 633 844 909 929 1010 1055 1212 1266 1515 1818 1858 1899 2020 2110 2532 2787 3030 3165 3636 3716 3798 4220 4545 4645 5574 6060 6330 7596 8361 9090 9290 9495 11148 12660 13935 16722 18180 18580 18990 21311 27870 33444 37980 41805 42622 55740 63933 83610 85244 93829 106555 127866 167220 187658 191799 196019 213110 255732 281487 319665 375316 383598 392038 426220 469145 562974 588057 639330 767196 784076 844461 938290 958995 980095 1125948 1176114 1278660 1407435 1688922 1764171 1876580 1917990 1960190 2352228 2814870 2940285 3377844 3528342 3835980 3920380 4222305 5629740 5880570 7056684 8444610 8820855 11761140 16889220 17641710 19797919 35283420 39595838 59393757 79191676 98989595 118787514 178181271 197979190 237575028 296968785 356362542 395958380 593937570 712725084 890906355 1187875140 1781812710 3563625420