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4454021321536 = 261761564111897
BaseRepresentation
bin100000011010000100001…
…0110111101001101000000
3120202210121101220112122111
41000310020112331031000
51040433313424242121
613250052114345104
7636535541365303
oct100641026751500
916683541815574
104454021321536
111467a37a13446
125bb27688b194
13264021351c97
1411580bd36b3a
157acd52d12e1
hex40d085bd340

4454021321536 has 112 divisors (see below), whose sum is σ = 9514258829712. Its totient is φ = 2061110476800.

The previous prime is 4454021321501. The next prime is 4454021321543. The reversal of 4454021321536 is 6351231204544.

It can be written as a sum of positive squares in 8 ways, for example, as 1181742926400 + 3272278395136 = 1087080^2 + 1808944^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374375940 + ... + 374387836.

It is an arithmetic number, because the mean of its divisors is an integer number (84948739551).

Almost surely, 24454021321536 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 4454021321536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757129414856).

4454021321536 is an abundant number, since it is smaller than the sum of its proper divisors (5060237508176).

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

4454021321536 is a wasteful number, since it uses less digits than its factorization.

4454021321536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17628 (or 17618 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 4454021321536 in words is "four trillion, four hundred fifty-four billion, twenty-one million, three hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 136 244 272 488 544 976 1037 1088 1952 2074 3904 4148 5641 8296 11282 11897 16592 22564 23794 33184 45128 47588 66368 90256 95176 95897 180512 190352 191794 202249 344101 361024 380704 383588 404498 688202 725717 761408 767176 808996 1376404 1451434 1534352 1617992 2752808 2902868 3068704 3235984 5505616 5805736 5849717 6137408 6471968 11011232 11611472 11699434 12337189 12943936 22022464 23222944 23398868 24674378 46445888 46797736 49348756 67110977 93595472 98697512 134221954 187190944 197395024 268443908 374381888 394790048 536887816 789580096 1073775632 1140886609 2147551264 2281773218 4093769597 4295102528 4563546436 8187539194 9127092872 16375078388 18254185744 32750156776 36508371488 65500313552 69594083149 73016742976 131000627104 139188166298 262001254208 278376332596 556752665192 1113505330384 2227010660768 4454021321536