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5325784875235 = 5112731375411627
BaseRepresentation
bin100110110000000000110…
…0001000000000011100011
3200212010210002211112101101
41031200001201000003203
51144224201412001420
615154344245015231
71056526625340046
oct115400141000343
920763702745341
105325784875235
11177371a7a0200
1272020a6b4517
132c82b0c14ba6
14145aab1c0c5d
159380893d60a
hex4d8018400e3

5325784875235 has 96 divisors (see below), whose sum is σ = 7190637322176. Its totient is φ = 3783017779200.

The previous prime is 5325784875217. The next prime is 5325784875241.

It is a happy number.

5325784875235 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5325784875235 - 27 = 5325784875107 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 3273376492 + ... + 3273378118.

It is an arithmetic number, because the mean of its divisors is an integer number (74902472106).

Almost surely, 25325784875235 is an apocalyptic number.

5325784875235 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5325784875235 is a deficient number, since it is larger than the sum of its proper divisors (1864852446941).

5325784875235 is a wasteful number, since it uses less digits than its factorization.

5325784875235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2394 counting only the distinct ones).

The product of its digits is 282240000, while the sum is 64.

The spelling of 5325784875235 in words is "five trillion, three hundred twenty-five billion, seven hundred eighty-four million, eight hundred seventy-five thousand, two hundred thirty-five".

Divisors: 1 5 11 55 73 121 137 365 541 605 685 803 1507 1627 2705 4015 5951 7535 8135 8833 10001 16577 17897 29755 39493 44165 50005 65461 74117 82885 89485 110011 118771 196867 197465 222899 327305 370585 434423 550055 593855 815287 880207 984335 1114495 1210121 1306481 2172115 2451889 4076435 4401035 4778653 5410541 6050605 6532405 8968157 9682277 12259445 14371291 16271627 23893265 26970779 27052705 44840785 48411385 59515951 64255111 71856455 81358135 106505047 120588359 134853895 178987897 297579755 321275555 532525235 602941795 654675461 706806221 894939485 1326471949 1968866867 3273377305 3534031105 6632359745 7774868431 8802950207 9844334335 14591191439 38874342155 44014751035 72955957195 96832452277 484162261385 1065156975047 5325784875235