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17057420968 = 2372178330839
BaseRepresentation
bin11111110001011001…
…11001011010101000
31122000202112202200011
433320230321122220
5234413144432333
611500331421304
71142461454200
oct177054713250
948022482604
1017057420968
117263518925
1233805b4834
1317bab79503
14b7b589400
1569c76a9cd
hex3f8b396a8

17057420968 has 96 divisors (see below), whose sum is σ = 39868718400. Its totient is φ = 6797188608.

The previous prime is 17057420929. The next prime is 17057420969. The reversal of 17057420968 is 86902475071.

It is a super-2 number, since 2×170574209682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (17057420969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537693 + ... + 568531.

It is an arithmetic number, because the mean of its divisors is an integer number (415299150).

Almost surely, 217057420968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17057420968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19934359200).

17057420968 is an abundant number, since it is smaller than the sum of its proper divisors (22811297432).

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

17057420968 is a wasteful number, since it uses less digits than its factorization.

17057420968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30959 (or 30948 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 17057420968 in words is "seventeen billion, fifty-seven million, four hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 83 98 119 136 166 196 238 332 392 476 581 664 833 952 1162 1411 1666 2324 2822 3332 4067 4648 5644 6664 8134 9877 11288 16268 19754 30839 32536 39508 61678 69139 79016 123356 138278 215873 246712 276556 431746 524263 553112 863492 1048526 1511111 1726984 2097052 2559637 3022222 3669841 4194104 5119274 6044444 7339682 10238548 12088888 14679364 17917459 20477096 25688887 29358728 35834918 43513829 51377774 71669836 87027658 102755548 125422213 143339672 174055316 205511096 250844426 304596803 348110632 501688852 609193606 1003377704 1218387212 2132177621 2436774424 4264355242 8528710484 17057420968