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32113421424 = 24327159719949
BaseRepresentation
bin11101111010000110…
…111110110001110000
310001220001001211112200
4131322012332301300
51011232013441144
622430330023200
72214541402230
oct357206766160
9101801054480
1032113421424
111268a209907
126282877b00
13304a1a1c16
1417a8dc9cc0
15c7e442c69
hex77a1bec70

32113421424 has 120 divisors (see below), whose sum is σ = 102781442400. Its totient is φ = 9169058304.

The previous prime is 32113421393. The next prime is 32113421467. The reversal of 32113421424 is 42412431123.

32113421424 is a `hidden beast` number, since 3 + 211 + 3 + 4 + 21 + 424 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1599802 + ... + 1619750.

It is an arithmetic number, because the mean of its divisors is an integer number (856512020).

Almost surely, 232113421424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32113421424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51390721200).

32113421424 is an abundant number, since it is smaller than the sum of its proper divisors (70668020976).

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

32113421424 is a wasteful number, since it uses less digits than its factorization.

32113421424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21567 (or 21558 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 32113421424 its reverse (42412431123), we get a palindrome (74525852547).

The spelling of 32113421424 in words is "thirty-two billion, one hundred thirteen million, four hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1597 3194 4791 6388 9582 11179 12776 14373 19164 19949 22358 25552 28746 33537 38328 39898 44716 57492 59847 67074 76656 79796 89432 100611 114984 119694 134148 139643 159592 178864 179541 201222 229968 239388 268296 279286 319184 359082 402444 418929 478776 536592 558572 718164 804888 837858 957552 1117144 1256787 1436328 1609776 1675716 2234288 2513574 2872656 3351432 5027148 6702864 10054296 20108592 31858553 63717106 95575659 127434212 191151318 223009871 254868424 286726977 382302636 446019742 509736848 573453954 669029613 764605272 892039484 1146907908 1338059226 1529210544 1784078968 2007088839 2293815816 2676118452 3568157936 4014177678 4587631632 5352236904 8028355356 10704473808 16056710712 32113421424