Search a number
-
+
17109647472 = 2433119957781
BaseRepresentation
bin11111110111101000…
…01000000001110000
31122011101211010222010
433323310020001300
5240020032204342
611505435042520
71143664414101
oct177364100160
948141733863
1017109647472
11728aa4a425
123395ba0440
1317c8934178
14b844a23a8
156a213529c
hex3fbd08070

17109647472 has 80 divisors (see below), whose sum is σ = 45855795200. Its totient is φ = 5491411200.

The previous prime is 17109647453. The next prime is 17109647483. The reversal of 17109647472 is 27474690171.

It is a happy number.

It is a super-2 number, since 2×171096474722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267222 + ... + 325002.

It is an arithmetic number, because the mean of its divisors is an integer number (573197440).

Almost surely, 217109647472 is an apocalyptic number.

17109647472 is a gapful number since it is divisible by the number (12) 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 17109647472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22927897600).

17109647472 is an abundant number, since it is smaller than the sum of its proper divisors (28746147728).

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

17109647472 is a wasteful number, since it uses less digits than its factorization.

17109647472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58022 (or 58016 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 17109647472 in words is "seventeen billion, one hundred nine million, six hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 199 248 372 398 496 597 744 796 1194 1488 1592 2388 3184 4776 6169 9552 12338 18507 24676 37014 49352 57781 74028 98704 115562 148056 173343 231124 296112 346686 462248 693372 924496 1386744 1791211 2773488 3582422 5373633 7164844 10747266 11498419 14329688 21494532 22996838 28659376 34495257 42989064 45993676 68990514 85978128 91987352 137981028 183974704 275962056 356450989 551924112 712901978 1069352967 1425803956 2138705934 2851607912 4277411868 5703215824 8554823736 17109647472