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830780345500 = 22537259391541
BaseRepresentation
bin11000001011011100101…
…11100000110010011100
32221102101111210022010221
430011232113200302130
5102102414232024000
61433353310011124
7114010340264440
oct14055627406234
92842344708127
10830780345500
112a0371934966
121150167a6aa4
136045ac02571
142c2d22a0820
15169256ae61a
hexc16e5e0c9c

830780345500 has 96 divisors (see below), whose sum is σ = 2074450105728. Its totient is φ = 284726016000.

The previous prime is 830780345489. The next prime is 830780345503. The reversal of 830780345500 is 5543087038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830780345503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9029730 + ... + 9121270.

It is an arithmetic number, because the mean of its divisors is an integer number (21608855268).

Almost surely, 2830780345500 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 830780345500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037225052864).

830780345500 is an abundant number, since it is smaller than the sum of its proper divisors (1243669760228).

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

830780345500 is a wasteful number, since it uses less digits than its factorization.

830780345500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94160 (or 94148 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 830780345500 in words is "eight hundred thirty billion, seven hundred eighty million, three hundred forty-five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1750 2593 3500 5186 10372 12965 18151 25930 36302 51860 64825 72604 90755 91541 129650 181510 183082 259300 324125 363020 366164 453775 457705 640787 648250 907550 915410 1281574 1296500 1815100 1830820 2268875 2288525 2563148 3203935 4537750 4577050 6407870 9075500 9154100 11442625 12815740 16019675 22885250 32039350 45770500 64078700 80098375 160196750 237365813 320393500 474731626 949463252 1186829065 1661560691 2373658130 3323121382 4747316260 5934145325 6646242764 8307803455 11868290650 16615606910 23736581300 29670726625 33231213820 41539017275 59341453250 83078034550 118682906500 166156069100 207695086375 415390172750 830780345500