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424002202832 = 241323149594827
BaseRepresentation
bin1100010101110001000…
…00000010110011010000
31111112102102221121102002
412022320200002303100
523421324030442312
6522441154413132
742430112154515
oct6127040026320
91445372847362
10424002202832
1115390020a66a
126a2115911a8
1330ca2229220
1416743c1330c
15b068bc24c2
hex62b8802cd0

424002202832 has 80 divisors (see below), whose sum is σ = 929359267200. Its totient is φ = 185928331776.

The previous prime is 424002202801. The next prime is 424002202837. The reversal of 424002202832 is 238202200424.

It is a junction number, because it is equal to n+sod(n) for n = 424002202795 and 424002202804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424002202837) 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, 415403 + ... + 1010229.

It is an arithmetic number, because the mean of its divisors is an integer number (11616990840).

Almost surely, 2424002202832 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 424002202832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464679633600).

424002202832 is an abundant number, since it is smaller than the sum of its proper divisors (505357064368).

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

424002202832 is a wasteful number, since it uses less digits than its factorization.

424002202832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595020 (or 595014 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The spelling of 424002202832 in words is "four hundred twenty-four billion, two million, two hundred two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 149 184 208 298 299 368 596 598 1192 1196 1937 2384 2392 3427 3874 4784 6854 7748 13708 15496 27416 30992 44551 54832 89102 178204 356408 594827 712816 1189654 2379308 4758616 7732751 9517232 13681021 15465502 27362042 30931004 54724084 61862008 88629223 109448168 123724016 177258446 177853273 218896336 354516892 355706546 709033784 711413092 1152179899 1418067568 1422826184 2038472129 2304359798 2845652368 4076944258 4608719596 8153888516 9217439192 16307777032 18434878384 26500137677 32615554064 53000275354 106000550708 212001101416 424002202832