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421513760624 = 2411103145915937
BaseRepresentation
bin1100010001001000010…
…11011000111101110000
31111022000000111122102212
412020210023120331300
523401230010314444
6521350222431252
742311334564125
oct6104413307560
91438000448385
10421513760624
11152843590160
1269838132528
1330996815708
141658953074c
15ae704cb19e
hex62242d8f70

421513760624 has 80 divisors (see below), whose sum is σ = 900249642240. Its totient is φ = 189595054080.

The previous prime is 421513760621. The next prime is 421513760641. The reversal of 421513760624 is 426067315124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421513760621) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26440784 + ... + 26456720.

It is an arithmetic number, because the mean of its divisors is an integer number (11253120528).

Almost surely, 2421513760624 is an apocalyptic number.

421513760624 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 421513760624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450124821120).

421513760624 is an abundant number, since it is smaller than the sum of its proper divisors (478735881616).

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

421513760624 is a wasteful number, since it uses less digits than its factorization.

421513760624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17518 (or 17512 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 421513760624 in words is "four hundred twenty-one billion, five hundred thirteen million, seven hundred sixty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 206 412 824 1133 1459 1648 2266 2918 4532 5836 9064 11672 15937 16049 18128 23344 31874 32098 63748 64196 127496 128392 150277 175307 254992 256784 300554 350614 601108 701228 1202216 1402456 1641511 1653047 2404432 2804912 3283022 3306094 6566044 6612188 13132088 13224376 18056621 23252083 26264176 26448752 36113242 46504166 72226484 93008332 144452968 186016664 255772913 288905936 372033328 511545826 1023091652 2046183304 2394964549 4092366608 4789929098 9579858196 19159716392 26344610039 38319432784 52689220078 105378440156 210756880312 421513760624