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210450020016 = 24343799071423
BaseRepresentation
bin1100001111111111001…
…1000111011010110000
3202010012121211201000210
43003333303013122300
511422000201120031
6240402430144120
721130101440445
oct3037763073260
9663177751023
10210450020016
1181284605985
1234953352040
1316acb312482
14a285d099cc
15571aac6746
hex30ffcc76b0

210450020016 has 160 divisors (see below), whose sum is σ = 564365148160. Its totient is φ = 67529210112.

The previous prime is 210450020009. The next prime is 210450020071. The reversal of 210450020016 is 610020054012.

It is a junction number, because it is equal to n+sod(n) for n = 210450019974 and 210450020001.

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, 147891081 + ... + 147892503.

It is an arithmetic number, because the mean of its divisors is an integer number (3527282176).

Almost surely, 2210450020016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210450020016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282182574080).

210450020016 is an abundant number, since it is smaller than the sum of its proper divisors (353915128144).

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

210450020016 is a wasteful number, since it uses less digits than its factorization.

210450020016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 210450020016 its reverse (610020054012), we get a palindrome (820470074028).

The spelling of 210450020016 in words is "two hundred ten billion, four hundred fifty million, twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 79 86 129 158 172 237 258 316 344 474 516 632 688 907 948 1032 1264 1423 1814 1896 2064 2721 2846 3397 3628 3792 4269 5442 5692 6794 7256 8538 10191 10884 11384 13588 14512 17076 20382 21768 22768 27176 34152 39001 40764 43536 54352 61189 68304 71653 78002 81528 112417 117003 122378 143306 156004 163056 183567 214959 224834 234006 244756 286612 312008 337251 367134 429918 449668 468012 489512 573224 624016 674502 734268 859836 899336 936024 979024 1146448 1290661 1349004 1468536 1719672 1798672 1872048 2581322 2698008 2937072 3081079 3439344 3871983 4833931 5162644 5396016 6162158 7743966 9243237 9667862 10325288 12324316 14501793 15487932 18486474 19335724 20650576 24648632 29003586 30975864 36972948 38671448 49297264 55498423 58007172 61951728 73945896 77342896 101962219 110996846 116014344 147891792 166495269 203924438 221993692 232028688 305886657 332990538 407848876 443987384 611773314 665981076 815697752 887974768 1223546628 1331962152 1631395504 2447093256 2663924304 4384375417 4894186512 8768750834 13153126251 17537501668 26306252502 35075003336 52612505004 70150006672 105225010008 210450020016