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20555450400 = 2535213076553
BaseRepresentation
bin10011001001001100…
…110100100000100000
31222001112201001221210
4103021030310200200
5314044143403100
613235410350120
71325245305552
oct231114644040
958045631853
1020555450400
11879901a141
123b97b8b340
131c277a5c04
14dcdd934d2
158048d8c50
hex4c9334820

20555450400 has 144 divisors (see below), whose sum is σ = 66969401184. Its totient is φ = 5476423680.

The previous prime is 20555450393. The next prime is 20555450437. The reversal of 20555450400 is 405455502.

It is a super-2 number, since 2×205554504002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3133524 + ... + 3140076.

It is an arithmetic number, because the mean of its divisors is an integer number (465065286).

Almost surely, 220555450400 is an apocalyptic number.

20555450400 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 20555450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33484700592).

20555450400 is an abundant number, since it is smaller than the sum of its proper divisors (46413950784).

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

20555450400 is a wasteful number, since it uses less digits than its factorization.

20555450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7883 (or 7870 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The spelling of 20555450400 in words is "twenty billion, five hundred fifty-five million, four hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 1307 2400 2614 3921 5228 6535 6553 7842 10456 13070 13106 15684 19605 19659 20912 26140 26212 31368 32675 32765 39210 39318 41824 52280 52424 62736 65350 65530 78420 78636 98025 98295 104560 104848 125472 130700 131060 156840 157272 163825 196050 196590 209120 209696 261400 262120 313680 314544 327650 392100 393180 491475 522800 524240 627360 629088 655300 784200 786360 982950 1045600 1048480 1310600 1568400 1572720 1965900 2621200 3136800 3145440 3931800 5242400 7863600 8564771 15727200 17129542 25694313 34259084 42823855 51388626 68518168 85647710 102777252 128471565 137036336 171295420 205554504 214119275 256943130 274072672 342590840 411109008 428238550 513886260 642357825 685181680 822218016 856477100 1027772520 1284715650 1370363360 1712954200 2055545040 2569431300 3425908400 4111090080 5138862600 6851816800 10277725200 20555450400