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84258146112 = 2637173687769
BaseRepresentation
bin100111001111000101…
…1010100011101000000
322001111002120022100020
41032132023110131000
52340030041133422
6102412504253440
76041665265520
oct1163613243500
9261432508306
1084258146112
11328085882a8
12143b5a71280
137c3a38b9ba
1441144c9680
1522d223695c
hex139e2d4740

84258146112 has 112 divisors (see below), whose sum is σ = 269767751040. Its totient is φ = 22657646592.

The previous prime is 84258146101. The next prime is 84258146173. The reversal of 84258146112 is 21164185248.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×842581461122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1821037 + ... + 1866732.

Almost surely, 284258146112 is an apocalyptic number.

It is an amenable number.

84258146112 is an abundant number, since it is smaller than the sum of its proper divisors (185509604928).

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

84258146112 is a wasteful number, since it uses less digits than its factorization.

84258146112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687808 (or 3687798 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The spelling of 84258146112 in words is "eighty-four billion, two hundred fifty-eight million, one hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 22848 3687769 7375538 11063307 14751076 22126614 25814383 29502152 44253228 51628766 59004304 62692073 77443149 88506456 103257532 118008608 125384146 154886298 177012912 188076219 206515064 236017216 250768292 309772596 354025824 376152438 413030128 438844511 501536584 619545192 708051648 752304876 826060256 877689022 1003073168 1239090384 1316533533 1504609752 1652120512 1755378044 2006146336 2478180768 2633067066 3009219504 3510756088 4012292672 4956361536 5266134132 6018439008 7021512176 10532268264 12036878016 14043024352 21064536528 28086048704 42129073056 84258146112