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18874777429480 = 2357298179284201
BaseRepresentation
bin1000100101010101000000…
…11001110110010111101000
32110211102002200200101202111
410102222200121312113220
54433221021010220410
6104050541505212104
73655441403002210
oct422524031662750
973742080611674
1018874777429480
116017825881545
12214a084931034
13a6bb64b4482b
14493789031240
1522ae99deab8a
hex112aa06765e8

18874777429480 has 128 divisors (see below), whose sum is σ = 50215082976000. Its totient is φ = 6247416268800.

The previous prime is 18874777429433. The next prime is 18874777429513. The reversal of 18874777429480 is 8492477747881.

It is a junction number, because it is equal to n+sod(n) for n = 18874777429397 and 18874777429406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66271380 + ... + 66555580.

It is an arithmetic number, because the mean of its divisors is an integer number (392305335750).

Almost surely, 218874777429480 is an apocalyptic number.

18874777429480 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 18874777429480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25107541488000).

18874777429480 is an abundant number, since it is smaller than the sum of its proper divisors (31340305546520).

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

18874777429480 is a wasteful number, since it uses less digits than its factorization.

18874777429480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292427 (or 292423 counting only the distinct ones).

The product of its (nonzero) digits is 1416167424, while the sum is 76.

The spelling of 18874777429480 in words is "eighteen trillion, eight hundred seventy-four billion, seven hundred seventy-seven million, four hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 8120 8179 16358 32716 40895 57253 65432 81790 114506 163580 229012 237191 284201 286265 327160 458024 474382 568402 572530 948764 1136804 1145060 1185955 1421005 1660337 1897528 1989407 2273608 2290120 2371910 2842010 3320674 3978814 4743820 5684020 6641348 7957628 8241829 8301685 9487640 9947035 11368040 13282696 15915256 16483658 16603370 19894070 32967316 33206740 39788140 41209145 57692803 65934632 66413480 79576280 82418290 115385606 164836580 230771212 288464015 329673160 461542424 576928030 1153856060 2307712120 2324479979 4648959958 9297919916 11622399895 16271359853 18595839832 23244799790 32542719706 46489599580 65085439412 67409919391 81356799265 92979199160 130170878824 134819838782 162713598530 269639677564 325427197060 337049596955 471869435737 539279355128 650854394120 674099193910 943738871474 1348198387820 1887477742948 2359347178685 2696396775640 3774955485896 4718694357370 9437388714740 18874777429480