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112770264080 = 2452397762731
BaseRepresentation
bin110100100000110100…
…0011010110000010000
3101210002011010222021102
41221001220122300100
53321423141422310
6123450030043532
711101360300055
oct1510150326020
9353064128242
10112770264080
1143909968561
1219a326495a8
13a832415416
14565b0a702c
152e0040b8a5
hex1a41a1ac10

112770264080 has 80 divisors (see below), whose sum is σ = 273874863744. Its totient is φ = 43102033920.

The previous prime is 112770264071. The next prime is 112770264163. The reversal of 112770264080 is 80462077211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1766315 + ... + 1829045.

Almost surely, 2112770264080 is an apocalyptic number.

112770264080 is a gapful number since it is divisible by the number (10) 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 112770264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136937431872).

112770264080 is an abundant number, since it is smaller than the sum of its proper divisors (161104599664).

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

112770264080 is a wasteful number, since it uses less digits than its factorization.

112770264080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63744 (or 63738 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The spelling of 112770264080 in words is "one hundred twelve billion, seven hundred seventy million, two hundred sixty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 977 1840 1954 3908 4885 7816 9770 15632 19540 22471 39080 44942 62731 78160 89884 112355 125462 179768 224710 250924 313655 359536 449420 501848 627310 898840 1003696 1254620 1442813 1797680 2509240 2885626 5018480 5771252 7214065 11542504 14428130 23085008 28856260 57712520 61288187 115425040 122576374 245152748 306440935 490305496 612881870 980610992 1225763740 1409628301 2451527480 2819256602 4903054960 5638513204 7048141505 11277026408 14096283010 22554052816 28192566020 56385132040 112770264080