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4662632421132 = 22371572237158047
BaseRepresentation
bin100001111011001101010…
…0011001001011100001100
3121111202001212111102002120
41003312122203021130030
51102343032344434012
613525552254252540
7660602243441040
oct103663243113414
917452055442076
104662632421132
1115384584a1184
126337961b7150
1327a8b869805a
1412195b918020
158144471258c
hex43d9a8c970c

4662632421132 has 96 divisors (see below), whose sum is σ = 12518554718208. Its totient is φ = 1323095364864.

The previous prime is 4662632421119. The next prime is 4662632421211. The reversal of 4662632421132 is 2311242362664.

It is a happy number.

It is a super-2 number, since 2×46626324211322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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, 29422533 + ... + 29580579.

It is an arithmetic number, because the mean of its divisors is an integer number (130401611648).

Almost surely, 24662632421132 is an apocalyptic number.

4662632421132 is a gapful number since it is divisible by the number (42) 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 4662632421132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259277359104).

4662632421132 is an abundant number, since it is smaller than the sum of its proper divisors (7855922297076).

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

4662632421132 is a wasteful number, since it uses less digits than its factorization.

4662632421132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160455 (or 160453 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

Adding to 4662632421132 its reverse (2311242362664), we get a palindrome (6973874783796).

The spelling of 4662632421132 in words is "four trillion, six hundred sixty-two billion, six hundred thirty-two million, four hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 314 471 628 942 1099 1884 2198 2237 3297 4396 4474 6594 6711 8948 13188 13422 15659 26844 31318 46977 62636 93954 158047 187908 316094 351209 474141 632188 702418 948282 1053627 1106329 1404836 1896564 2107254 2212658 2458463 3318987 4214508 4425316 4916926 6637974 7375389 9833852 13275948 14750778 24813379 29501556 49626758 74440137 99253516 148880274 173693653 297760548 347387306 353551139 521080959 694774612 707102278 1042161918 1060653417 1414204556 2084323836 2121306834 2474857973 4242613668 4949715946 7424573919 9899431892 14849147838 29698295676 55507528823 111015057646 166522586469 222030115292 333045172938 388552701761 666090345876 777105403522 1165658105283 1554210807044 2331316210566 4662632421132