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84842284572 = 22351392772267
BaseRepresentation
bin100111100000011111…
…1101000011000011100
322002222210201121200000
41033000333220120130
52342224111101242
6102550452334300
76062320343223
oct1170077503034
9262883647600
1084842284572
1132a88292161
1214539614390
1380013c2a66
14416bd03cba
15231866ea4c
hex13c0fe861c

84842284572 has 144 divisors (see below), whose sum is σ = 224913386880. Its totient is φ = 27963600192.

The previous prime is 84842284477. The next prime is 84842284651. The reversal of 84842284572 is 27548224848.

It is a happy number.

84842284572 is a `hidden beast` number, since 8 + 4 + 8 + 42 + 28 + 4 + 572 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37423783 + ... + 37426049.

It is an arithmetic number, because the mean of its divisors is an integer number (1561898520).

Almost surely, 284842284572 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 84842284572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112456693440).

84842284572 is an abundant number, since it is smaller than the sum of its proper divisors (140071102308).

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

84842284572 is a wasteful number, since it uses less digits than its factorization.

84842284572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2688 counting only the distinct ones).

The product of its digits is 9175040, while the sum is 54.

The spelling of 84842284572 in words is "eighty-four billion, eight hundred forty-two million, two hundred eighty-four thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 243 277 278 324 417 486 554 556 831 834 972 1108 1251 1662 1668 2267 2493 2502 3324 3753 4534 4986 5004 6801 7479 7506 9068 9972 11259 13602 14958 15012 20403 22437 22518 27204 29916 33777 38503 40806 44874 45036 61209 67311 67554 77006 81612 89748 115509 122418 134622 135108 154012 183627 231018 244836 269244 315113 346527 367254 462036 550881 627959 630226 693054 734508 945339 1039581 1101762 1255918 1260452 1386108 1883877 1890678 2079162 2203524 2511836 2836017 3118743 3767754 3781356 4158324 5651631 5672034 6237486 7535508 8508051 9356229 11303262 11344068 12474972 16954893 17016102 18712458 22606524 25524153 33909786 34032204 37424916 50864679 51048306 67819572 76572459 87286301 101729358 102096612 152594037 153144918 174572602 203458716 261858903 305188074 306289836 349145204 523717806 610376148 785576709 1047435612 1571153418 2356730127 3142306836 4713460254 7070190381 9426920508 14140380762 21210571143 28280761524 42421142286 84842284572