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20102686400 = 265216677537
BaseRepresentation
bin10010101110001101…
…101010011011000000
31220212222202021111202
4102232031222123000
5312132241431100
613122434200332
71311110005106
oct225615523300
956788667452
1020102686400
118586495915
123a904230a8
131b84a4c114
14d89bb5c76
157c9ca17d5
hex4ae36a6c0

20102686400 has 84 divisors (see below), whose sum is σ = 49501412808. Its totient is φ = 8035184640.

The previous prime is 20102686391. The next prime is 20102686423. The reversal of 20102686400 is 468620102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2663432 + ... + 2670968.

Almost surely, 220102686400 is an apocalyptic number.

20102686400 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 20102686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24750706404).

20102686400 is an abundant number, since it is smaller than the sum of its proper divisors (29398726408).

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

20102686400 is a wasteful number, since it uses less digits than its factorization.

20102686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9226 (or 9211 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 20102686400 in words is "twenty billion, one hundred two million, six hundred eighty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 1667 3334 6668 7537 8335 13336 15074 16670 26672 30148 33340 37685 41675 53344 60296 66680 75370 83350 106688 120592 133360 150740 166700 188425 241184 266720 301480 333400 376850 482368 533440 602960 666800 753700 1205920 1333600 1507400 2411840 2667200 3014800 6029600 12059200 12564179 25128358 50256716 62820895 100513432 125641790 201026864 251283580 314104475 402053728 502567160 628208950 804107456 1005134320 1256417900 2010268640 2512835800 4020537280 5025671600 10051343200 20102686400