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20598013680 = 2435674572803
BaseRepresentation
bin10011001011101111…
…001011111011110000
31222011111210111210120
4103023233023323300
5314141042414210
613243530530240
71326303141006
oct231357137360
958144714716
1020598013680
118810050602
123baa296980
131c3355939a
14dd58b2a76
158084e5270
hex4cbbcbef0

20598013680 has 160 divisors (see below), whose sum is σ = 64971865344. Its totient is φ = 5397055488.

The previous prime is 20598013679. The next prime is 20598013759. The reversal of 20598013680 is 8631089502.

It is a super-2 number, since 2×205980136802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7347159 + ... + 7349961.

Almost surely, 220598013680 is an apocalyptic number.

20598013680 is a gapful number since it is divisible by the number (20) 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 20598013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32485932672).

20598013680 is an abundant number, since it is smaller than the sum of its proper divisors (44373851664).

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

20598013680 is a wasteful number, since it uses less digits than its factorization.

20598013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 20598013680 in words is "twenty billion, five hundred ninety-eight million, thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 457 536 670 804 914 1005 1072 1340 1371 1608 1828 2010 2285 2680 2742 2803 3216 3656 4020 4570 5360 5484 5606 6855 7312 8040 8409 9140 10968 11212 13710 14015 16080 16818 18280 21936 22424 27420 28030 30619 33636 36560 42045 44848 54840 56060 61238 67272 84090 91857 109680 112120 122476 134544 153095 168180 183714 187801 224240 244952 306190 336360 367428 375602 459285 489904 563403 612380 672720 734856 751204 918570 939005 1126806 1224760 1280971 1469712 1502408 1837140 1878010 2253612 2449520 2561942 2817015 3004816 3674280 3756020 3842913 4507224 5123884 5634030 6404855 7348560 7512040 7685826 9014448 10247768 11268060 12809710 15024080 15371652 19214565 20495536 22536120 25619420 30743304 38429130 45072240 51238840 61486608 76858260 85825057 102477680 153716520 171650114 257475171 307433040 343300228 429125285 514950342 686600456 858250570 1029900684 1287375855 1373200912 1716501140 2059801368 2574751710 3433002280 4119602736 5149503420 6866004560 10299006840 20598013680