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4097898153 = 323167257853
BaseRepresentation
bin1111010001000000…
…1111011010101001
3101120120220210110200
43310100033122221
531343030220103
61514344102413
7203356362636
oct36420173251
911516823420
104097898153
11181317a598
12964464a09
13503caa60b
142ac35918d
1518eb620a3
hexf440f6a9

4097898153 has 48 divisors (see below), whose sum is σ = 6232751616. Its totient is φ = 2591170560.

The previous prime is 4097898139. The next prime is 4097898163. The reversal of 4097898153 is 3518987904.

4097898153 is a `hidden beast` number, since 409 + 7 + 89 + 8 + 153 = 666.

4097898153 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 not a de Polignac number, because 4097898153 - 24 = 4097898137 is a prime.

It is a super-2 number, since 2×40978981532 = 33585538544721622818, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4097898153.

It is not an unprimeable number, because it can be changed into a prime (4097898113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4803675 + ... + 4804527.

It is an arithmetic number, because the mean of its divisors is an integer number (129848992).

Almost surely, 24097898153 is an apocalyptic number.

It is an amenable number.

4097898153 is a deficient number, since it is larger than the sum of its proper divisors (2134853463).

4097898153 is a wasteful number, since it uses less digits than its factorization.

4097898153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 4097898153 is about 64014.8276026734. The cubic root of 4097898153 is about 1600.2471171698.

The spelling of 4097898153 in words is "four billion, ninety-seven million, eight hundred ninety-eight thousand, one hundred fifty-three".

Divisors: 1 3 9 31 67 93 201 257 279 603 771 853 2077 2313 2559 6231 7677 7967 17219 18693 23901 26443 51657 57151 71703 79329 154971 171453 219221 237987 514359 533789 657663 1601367 1771681 1972989 4804101 5315043 6795851 14687807 15945129 20387553 44063421 61162659 132190263 455322017 1365966051 4097898153