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20380213680 = 2435303727961
BaseRepresentation
bin10010111110110000…
…010110000110110000
31221121022222010100220
4102332300112012300
5313214313314210
613210150413040
71321016646411
oct227660260660
957538863326
1020380213680
118709110202
123b49361180
131bca3ac148
14db49b9808
157e4321c70
hex4bec161b0

20380213680 has 80 divisors (see below), whose sum is σ = 63201725664. Its totient is φ = 5432739840.

The previous prime is 20380213663. The next prime is 20380213687. The reversal of 20380213680 is 8631208302.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20380213687) 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, 714900 + ... + 742860.

Almost surely, 220380213680 is an apocalyptic number.

20380213680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20380213680 is an abundant number, since it is smaller than the sum of its proper divisors (42821511984).

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

20380213680 is a wasteful number, since it uses less digits than its factorization.

20380213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31014 (or 31008 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 20380213680 in words is "twenty billion, three hundred eighty million, two hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3037 6074 9111 12148 15185 18222 24296 27961 30370 36444 45555 48592 55922 60740 72888 83883 91110 111844 121480 139805 145776 167766 182220 223688 242960 279610 335532 364440 419415 447376 559220 671064 728880 838830 1118440 1342128 1677660 2236880 3355320 6710640 84917557 169835114 254752671 339670228 424587785 509505342 679340456 849175570 1019010684 1273763355 1358680912 1698351140 2038021368 2547526710 3396702280 4076042736 5095053420 6793404560 10190106840 20380213680