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146841517086 = 231143531277687
BaseRepresentation
bin1000100011000001101…
…1111011110000011110
3112001000122012221211220
42020300123323300132
54401212412021321
6151242535154210
713415604205155
oct2106033736036
9461018187756
10146841517086
11573032321a0
1224560b15966
1310b020b8b64
1471700d259c
153c466829c6
hex22306fbc1e

146841517086 has 128 divisors (see below), whose sum is σ = 336691593216. Its totient is φ = 42301284480.

The previous prime is 146841517073. The next prime is 146841517093. The reversal of 146841517086 is 680715148641.

146841517086 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1468415170862 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19098735 + ... + 19106421.

It is an arithmetic number, because the mean of its divisors is an integer number (2630403072).

Almost surely, 2146841517086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146841517086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168345796608).

146841517086 is an abundant number, since it is smaller than the sum of its proper divisors (189850076130).

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

146841517086 is a wasteful number, since it uses less digits than its factorization.

146841517086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926.

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 146841517086 in words is "one hundred forty-six billion, eight hundred forty-one million, five hundred seventeen thousand, eighty-six".

Divisors: 1 2 3 6 11 22 33 43 53 66 86 106 127 129 159 254 258 318 381 473 583 762 946 1166 1397 1419 1749 2279 2794 2838 3498 4191 4558 5461 6731 6837 7687 8382 10922 13462 13674 15374 16383 20193 23061 25069 32766 40386 46122 50138 60071 74041 75207 84557 120142 148082 150414 169114 180213 222123 253671 289433 330541 360426 407411 444246 507342 578866 661082 814822 868299 976249 991623 1222233 1736598 1952498 1983246 2444466 2928747 3183763 3635951 4481521 5857494 6367526 7271902 8963042 9551289 10738739 10907853 13444563 17518673 19102578 21477478 21815706 26889126 32216217 35037346 41978707 51741197 52556019 64432434 83957414 103482394 105112038 125936121 155223591 192705403 251872242 310447182 385410806 461765777 569153167 578116209 923531554 1138306334 1156232418 1385297331 1707459501 2224871471 2770594662 3414919002 4449742942 6674614413 13349228826 24473586181 48947172362 73420758543 146841517086