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3988342953 = 3271719195997
BaseRepresentation
bin1110110110111001…
…0100100010101001
3101021221202210222200
43231232110202221
531132003433303
61455432010413
7200556233010
oct35556244251
911257683880
103988342953
111767352101
12933830a09
134b739c85a
1429b99ba77
151852213a3
hexedb948a9

3988342953 has 48 divisors (see below), whose sum is σ = 7338165120. Its totient is φ = 2032086528.

The previous prime is 3988342933. The next prime is 3988342973. The reversal of 3988342953 is 3592438893.

It is a happy number.

3988342953 is a `hidden beast` number, since 3 + 98 + 83 + 429 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (3988342933) and next prime (3988342973).

It is not a de Polignac number, because 3988342953 - 25 = 3988342921 is a prime.

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 3988342953.

It is not an unprimeable number, because it can be changed into a prime (3988342933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77650 + ... + 118347.

It is an arithmetic number, because the mean of its divisors is an integer number (152878440).

Almost surely, 23988342953 is an apocalyptic number.

It is an amenable number.

3988342953 is a deficient number, since it is larger than the sum of its proper divisors (3349822167).

3988342953 is a wasteful number, since it uses less digits than its factorization.

3988342953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196046 (or 196043 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 3988342953 is about 63153.3289146344. The cubic root of 3988342953 is about 1585.8575175187.

The spelling of 3988342953 in words is "three billion, nine hundred eighty-eight million, three hundred forty-two thousand, nine hundred fifty-three".

Divisors: 1 3 7 9 17 19 21 51 57 63 119 133 153 171 323 357 399 969 1071 1197 2261 2907 6783 20349 195997 587991 1371979 1763973 3331949 3723943 4115937 9995847 11171829 12347811 23323643 26067601 29987541 33515487 63307031 69970929 78202803 189921093 209912787 234608409 443149217 569763279 1329447651 3988342953