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10496003328 = 2834506173
BaseRepresentation
bin10011100011001110…
…00100110100000000
31000002111002012210000
421301213010310000
5132443434101303
64453301440000
7521046361536
oct116147046400
930074065700
1010496003328
1144a67a1718
12204b110000
13cb36a3375
14717d98156
154166d6da3
hex2719c4d00

10496003328 has 90 divisors (see below), whose sum is σ = 31297244594. Its totient is φ = 3498660864.

The previous prime is 10496003311. The next prime is 10496003339. The reversal of 10496003328 is 82330069401.

10496003328 is a `hidden beast` number, since 1 + 0 + 49 + 600 + 3 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7144982784 + 3351020544 = 84528^2 + 57888^2 .

It is a super-2 number, since 2×104960033282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10496003292 and 10496003301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 232351 + ... + 273822.

Almost surely, 210496003328 is an apocalyptic number.

10496003328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10496003328 is an abundant number, since it is smaller than the sum of its proper divisors (20801241266).

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

10496003328 is an frugal number, since it uses more digits than its factorization.

10496003328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506201 (or 506178 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10496003328 in words is "ten billion, four hundred ninety-six million, three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 506173 1012346 1518519 2024692 3037038 4049384 4555557 6074076 8098768 9111114 12148152 13666671 16197536 18222228 24296304 27333342 32395072 36444456 41000013 48592608 54666684 64790144 72888912 82000026 97185216 109333368 129580288 145777824 164000052 194370432 218666736 291555648 328000104 388740864 437333472 583111296 656000208 874666944 1166222592 1312000416 1749333888 2624000832 3498667776 5248001664 10496003328