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420005555024 = 241123208349811
BaseRepresentation
bin1100001110010100100…
…10000010101101010000
31111011002220112212022012
412013022102002231100
523340132410230044
6520540424402052
742226062212216
oct6071222025520
91434086485265
10420005555024
1115213a205a50
1269497016328
13307b620c573
14164850d2cb6
15add2db059e
hex61ca482b50

420005555024 has 80 divisors (see below), whose sum is σ = 926799681024. Its totient is φ = 182519779200.

The previous prime is 420005554993. The next prime is 420005555029. The reversal of 420005555024 is 420555500024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420005555029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8407079 + ... + 8456889.

Almost surely, 2420005555024 is an apocalyptic number.

420005555024 is a gapful number since it is divisible by the number (44) 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 420005555024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463399840512).

420005555024 is an abundant number, since it is smaller than the sum of its proper divisors (506794126000).

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

420005555024 is a wasteful number, since it uses less digits than its factorization.

420005555024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51936 (or 51930 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 32.

The spelling of 420005555024 in words is "four hundred twenty billion, five million, five hundred fifty-five thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 2083 4048 4166 8332 16664 22913 33328 45826 47909 49811 91652 95818 99622 183304 191636 199244 366608 383272 398488 526999 547921 766544 796976 1053998 1095842 1145653 2107996 2191684 2291306 4215992 4383368 4582612 8431984 8766736 9165224 12602183 18330448 25204366 50408732 100817464 103756313 201634928 207512626 415025252 830050504 1141319443 1660101008 2282638886 2386395199 4565277772 4772790398 9130555544 9545580796 18261111088 19091161592 26250347189 38182323184 52500694378 105001388756 210002777512 420005555024