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9920350080 = 273251722283
BaseRepresentation
bin10010011110100110…
…01000011110000000
3221121100212222222100
421033103020132000
5130304102200310
64320215310400
7500556404304
oct111723103600
927540788870
109920350080
114230862933
121b0a37b400
13c21350544
146a174bd04
153d0dc7ec0
hex24f4c8780

9920350080 has 96 divisors (see below), whose sum is σ = 34256228760. Its totient is φ = 2645425152.

The previous prime is 9920350061. The next prime is 9920350081. The reversal of 9920350080 is 800530299.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9920350081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 855382 + ... + 866901.

Almost surely, 29920350080 is an apocalyptic number.

9920350080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9920350080 is an abundant number, since it is smaller than the sum of its proper divisors (24335878680).

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

9920350080 is a wasteful number, since it uses less digits than its factorization.

9920350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722308 (or 1722293 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9920350080 is about 99600.9542122966. The cubic root of 9920350080 is about 2148.6994174818.

It can be divided in two parts, 9920 and 350080, that added together give a square (360000 = 6002).

The spelling of 9920350080 in words is "nine billion, nine hundred twenty million, three hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 1722283 3444566 5166849 6889132 8611415 10333698 13778264 15500547 17222830 20667396 25834245 27556528 31001094 34445660 41334792 51668490 55113056 62002188 68891320 77502735 82669584 103336980 110226112 124004376 137782640 155005470 165339168 206673960 220452224 248008752 275565280 310010940 330678336 413347920 496017504 551130560 620021880 661356672 826695840 992035008 1102261120 1240043760 1653391680 1984070016 2480087520 3306783360 4960175040 9920350080