Search a number
-
+
20061563360 = 2557910914561
BaseRepresentation
bin10010101011110000…
…110010100111100000
31220210010101000022012
4102223300302213200
5312041230011420
613114404532052
71310100321626
oct225360624740
956703330265
1020061563360
118565258533
123a7a6b1028
131b79381367
14d8454d516
157c637bdc5
hex4abc329e0

20061563360 has 96 divisors (see below), whose sum is σ = 48439036800. Its totient is φ = 7849820160.

The previous prime is 20061563317. The next prime is 20061563369. The reversal of 20061563360 is 6336516002.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20061563369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1370480 + ... + 1385040.

It is an arithmetic number, because the mean of its divisors is an integer number (504573300).

Almost surely, 220061563360 is an apocalyptic number.

20061563360 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 20061563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24219518400).

20061563360 is an abundant number, since it is smaller than the sum of its proper divisors (28377473440).

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

20061563360 is a wasteful number, since it uses less digits than its factorization.

20061563360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14764 (or 14756 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 20061563360 in words is "twenty billion, sixty-one million, five hundred sixty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 109 158 160 218 316 395 436 545 632 790 872 1090 1264 1580 1744 2180 2528 3160 3488 4360 6320 8611 8720 12640 14561 17222 17440 29122 34444 43055 58244 68888 72805 86110 116488 137776 145610 172220 232976 275552 291220 344440 465952 582440 688880 1150319 1164880 1377760 1587149 2300638 2329760 3174298 4601276 5751595 6348596 7935745 9202552 11503190 12697192 15871490 18405104 23006380 25394384 31742980 36810208 46012760 50788768 63485960 92025520 125384771 126971920 184051040 250769542 253943840 501539084 626923855 1003078168 1253847710 2006156336 2507695420 4012312672 5015390840 10030781680 20061563360