Search a number
-
+
13670498952 = 2334111917859
BaseRepresentation
bin11001011101101001…
…10100001010001000
31022021201110022010000
430232310310022020
5210444121431302
610140302123000
7662524216035
oct145664641210
938251408100
1013670498952
115885705220
122796280460
13139b282246
1493982438c
1555024831c
hex32ed34288

13670498952 has 80 divisors (see below), whose sum is σ = 41770990800. Its totient is φ = 4142573280.

The previous prime is 13670498951. The next prime is 13670498953. The reversal of 13670498952 is 25989407631.

13670498952 is a `hidden beast` number, since 1 + 3 + 67 + 0 + 498 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13670498951) and next prime (13670498953).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13670498951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 951802 + ... + 966057.

It is an arithmetic number, because the mean of its divisors is an integer number (522137385).

It is a 1-persistent number, because it is pandigital, but 2⋅13670498952 = 27340997904 is not.

Almost surely, 213670498952 is an apocalyptic number.

13670498952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13670498952 is an abundant number, since it is smaller than the sum of its proper divisors (28100491848).

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

13670498952 is a wasteful number, since it uses less digits than its factorization.

13670498952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917888 (or 1917875 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 13670498952 in words is "thirteen billion, six hundred seventy million, four hundred ninety-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 1917859 3835718 5753577 7671436 11507154 15342872 17260731 21096449 23014308 34521462 42192898 46028616 51782193 63289347 69042924 84385796 103564386 126578694 138085848 155346579 168771592 189868041 207128772 253157388 310693158 379736082 414257544 506314776 569604123 621386316 759472164 1139208246 1242772632 1518944328 1708812369 2278416492 3417624738 4556832984 6835249476 13670498952