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126404030520 = 23335129190659
BaseRepresentation
bin111010110111001000…
…1000111000000111000
3110002021022111001212000
41311232101013000320
54032333412434040
6134022541021000
712063260350215
oct1655621070070
9402238431760
10126404030520
1149675864029
12205b8554760
13bbc5ba6141
146191a88b0c
15344c2eb130
hex1d6e447038

126404030520 has 128 divisors (see below), whose sum is σ = 421677792000. Its totient is φ = 33681260160.

The previous prime is 126404030483. The next prime is 126404030549. The reversal of 126404030520 is 25030404621.

126404030520 is a `hidden beast` number, since 12 + 64 + 0 + 40 + 30 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348951 + ... + 1439609.

It is an arithmetic number, because the mean of its divisors is an integer number (3294357750).

Almost surely, 2126404030520 is an apocalyptic number.

126404030520 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 126404030520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210838896000).

126404030520 is an abundant number, since it is smaller than the sum of its proper divisors (295273761480).

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

126404030520 is a wasteful number, since it uses less digits than its factorization.

126404030520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91970 (or 91960 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 126404030520 in words is "one hundred twenty-six billion, four hundred four million, thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1291 2582 3873 5164 6455 7746 10328 11619 12910 15492 19365 23238 25820 30984 34857 38730 46476 51640 58095 69714 77460 90659 92952 116190 139428 154920 174285 181318 232380 271977 278856 348570 362636 453295 464760 543954 697140 725272 815931 906590 1087908 1359885 1394280 1631862 1813180 2175816 2447793 2719770 3263724 3626360 4079655 4895586 5439540 6527448 8159310 9791172 10879080 12238965 16318620 19582344 24477930 32637240 48955860 97911720 117040769 234081538 351122307 468163076 585203845 702244614 936326152 1053366921 1170407690 1404489228 1755611535 2106733842 2340815380 2808978456 3160100763 3511223070 4213467684 4681630760 5266834605 6320201526 7022446140 8426935368 10533669210 12640403052 14044892280 15800503815 21067338420 25280806104 31601007630 42134676840 63202015260 126404030520