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20596988400 = 24352127713441
BaseRepresentation
bin10011001011101011…
…010001100111110000
31222011102212102101020
4103023223101213300
5314140312112100
613243452535440
71326261340602
oct231353214760
958142772336
1020596988400
11880a51026a
123ba9a81580
131c3328a801
14dd56c7172
158083915a0
hex4cbad19f0

20596988400 has 120 divisors (see below), whose sum is σ = 66035599344. Its totient is φ = 5487820800.

The previous prime is 20596988369. The next prime is 20596988417. The reversal of 20596988400 is 488969502.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×205969884002 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1525680 + ... + 1539120.

Almost surely, 220596988400 is an apocalyptic number.

20596988400 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 20596988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33017799672).

20596988400 is an abundant number, since it is smaller than the sum of its proper divisors (45438610944).

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

20596988400 is a wasteful number, since it uses less digits than its factorization.

20596988400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14739 (or 14728 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 20596988400 in words is "twenty billion, five hundred ninety-six million, nine hundred eighty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1277 2554 3831 5108 6385 7662 10216 12770 13441 15324 19155 20432 25540 26882 30648 31925 38310 40323 51080 53764 61296 63850 67205 76620 80646 95775 102160 107528 127700 134410 153240 161292 191550 201615 215056 255400 268820 306480 322584 336025 383100 403230 510800 537640 645168 672050 766200 806460 1008075 1075280 1344100 1532400 1612920 2016150 2688200 3225840 4032300 5376400 8064600 16129200 17164157 34328314 51492471 68656628 85820785 102984942 137313256 171641570 205969884 257462355 274626512 343283140 411939768 429103925 514924710 686566280 823879536 858207850 1029849420 1287311775 1373132560 1716415700 2059698840 2574623550 3432831400 4119397680 5149247100 6865662800 10298494200 20596988400