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20214520000 = 2654796397
BaseRepresentation
bin10010110100111000…
…010001100011000000
31221011210012000100221
4102310320101203000
5312344404120000
613141511152424
71313635404433
oct226470214300
957153160327
1020214520000
11863362a084
123b01975714
131ba1c76c4c
14d9a9a781a
157d49e261a
hex4b4e118c0

20214520000 has 140 divisors (see below), whose sum is σ = 50767874080. Its totient is φ = 7982208000.

The previous prime is 20214519973. The next prime is 20214520049. The reversal of 20214520000 is 2541202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3156802 + ... + 3163198.

It is an arithmetic number, because the mean of its divisors is an integer number (362627672).

Almost surely, 220214520000 is an apocalyptic number.

20214520000 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 20214520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25383937040).

20214520000 is an abundant number, since it is smaller than the sum of its proper divisors (30553354080).

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

20214520000 is an frugal number, since it uses more digits than its factorization.

20214520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6508 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The spelling of 20214520000 in words is "twenty billion, two hundred fourteen million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 125 158 160 200 250 316 320 395 400 500 625 632 790 800 1000 1250 1264 1580 1600 1975 2000 2500 2528 3160 3950 4000 5000 5056 6320 6397 7900 8000 9875 10000 12640 12794 15800 19750 20000 25280 25588 31600 31985 39500 40000 49375 51176 63200 63970 79000 98750 102352 126400 127940 158000 159925 197500 204704 255880 316000 319850 395000 409408 505363 511760 632000 639700 790000 799625 1010726 1023520 1279400 1580000 1599250 2021452 2047040 2526815 2558800 3160000 3198500 3998125 4042904 5053630 5117600 6397000 7996250 8085808 10107260 10235200 12634075 12794000 15992500 16171616 20214520 25268150 25588000 31985000 32343232 40429040 50536300 51176000 63170375 63970000 80858080 101072600 126340750 127940000 161716160 202145200 252681500 255880000 315851875 404290400 505363000 631703750 808580800 1010726000 1263407500 2021452000 2526815000 4042904000 5053630000 10107260000 20214520000