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16953691830 = 235171910311697
BaseRepresentation
bin11111100101000010…
…01100111010110110
31121202112100210001020
433302201030322312
5234210121114310
611442144242010
71140062000655
oct176241147266
947675323036
1016953691830
11720aa0a669
123351910306
1317a252b51a
14b6b8a719c
156935cb170
hex3f284ceb6

16953691830 has 128 divisors (see below), whose sum is σ = 45420549120. Its totient is φ = 4024811520.

The previous prime is 16953691817. The next prime is 16953691837. The reversal of 16953691830 is 3819635961.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16953691837) 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 63 ways as a sum of consecutive naturals, for example, 9989542 + ... + 9991238.

It is an arithmetic number, because the mean of its divisors is an integer number (354848040).

Almost surely, 216953691830 is an apocalyptic number.

16953691830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16953691830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22710274560).

16953691830 is an abundant number, since it is smaller than the sum of its proper divisors (28466857290).

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

16953691830 is a wasteful number, since it uses less digits than its factorization.

16953691830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774.

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 16953691830 in words is "sixteen billion, nine hundred fifty-three million, six hundred ninety-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1031 1615 1697 1938 2062 3093 3230 3394 4845 5091 5155 6186 8485 9690 10182 10310 15465 16970 17527 19589 25455 28849 30930 32243 35054 39178 50910 52581 57698 58767 64486 86547 87635 96729 97945 105162 117534 144245 161215 173094 175270 193458 195890 262905 288490 293835 322430 333013 432735 483645 525810 548131 587670 666026 865470 967290 999039 1096262 1644393 1665065 1749607 1998078 2740655 3288786 3330130 3499214 4995195 5248821 5481310 8221965 8748035 9990390 10497642 16443930 17496070 26244105 29743319 33242533 52488210 59486638 66485066 89229957 99727599 148716595 166212665 178459914 199455198 297433190 332425330 446149785 498637995 565123061 892299570 997275990 1130246122 1695369183 2825615305 3390738366 5651230610 8476845915 16953691830