Search a number
-
+
13988526975 = 3252236414217
BaseRepresentation
bin11010000011100011…
…11111101101111111
31100002212212210112200
431001301333231333
5212122030330400
610232022402543
71003435342323
oct150161775577
940085783480
1013988526975
115a291823a5
122864890453
13141c1229c7
14969b6b983
1556d118b00
hex341c7fb7f

13988526975 has 72 divisors (see below), whose sum is σ = 26191350432. Its totient is φ = 7123353600.

The previous prime is 13988526941. The next prime is 13988526991. The reversal of 13988526975 is 57962588931.

13988526975 is a `hidden beast` number, since 1 + 39 + 8 + 8 + 526 + 9 + 75 = 666.

It is not a de Polignac number, because 13988526975 - 27 = 13988526847 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3315067 + ... + 3319283.

It is an arithmetic number, because the mean of its divisors is an integer number (363768756).

Almost surely, 213988526975 is an apocalyptic number.

13988526975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13988526975 is a deficient number, since it is larger than the sum of its proper divisors (12202823457).

13988526975 is a wasteful number, since it uses less digits than its factorization.

13988526975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4897 (or 4889 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 13988526975 in words is "thirteen billion, nine hundred eighty-eight million, five hundred twenty-six thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 345 575 641 1035 1725 1923 3205 4217 5175 5769 9615 12651 14743 16025 21085 28845 37953 44229 48075 63255 73715 96991 105425 132687 144225 189765 221145 290973 316275 368575 484955 663435 872919 948825 1105725 1454865 2424775 2703097 3317175 4364595 7274325 8109291 13515485 21822975 24327873 40546455 62171231 67577425 121639365 186513693 202732275 310856155 559541079 608196825 932568465 1554280775 2797705395 4662842325 13988526975