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168222839064 = 233743101230561
BaseRepresentation
bin1001110010101011011…
…1001101000100011000
3121002012201221122121220
42130222313031010120
510224010021322224
6205140331132040
715103501352640
oct2345267150430
9532181848556
10168222839064
1165385452925
12287295a4020
1312b2ba02777
1481dba27520
154598804279
hex272adcd118

168222839064 has 128 divisors (see below), whose sum is σ = 496685882880. Its totient is φ = 46480896000.

The previous prime is 168222839047. The next prime is 168222839111. The reversal of 168222839064 is 460938222861.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 168222838998 and 168222839016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614344 + ... + 844904.

It is an arithmetic number, because the mean of its divisors is an integer number (3880358460).

Almost surely, 2168222839064 is an apocalyptic number.

168222839064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168222839064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248342941440).

168222839064 is an abundant number, since it is smaller than the sum of its proper divisors (328463043816).

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

168222839064 is a wasteful number, since it uses less digits than its factorization.

168222839064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230721 (or 230717 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 168222839064 in words is "one hundred sixty-eight billion, two hundred twenty-two million, eight hundred thirty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 101 129 168 172 202 258 301 303 344 404 516 602 606 707 808 903 1032 1204 1212 1414 1806 2121 2408 2424 2828 3612 4242 4343 5656 7224 8484 8686 13029 16968 17372 26058 30401 34744 52116 60802 91203 104232 121604 182406 230561 243208 364812 461122 691683 729624 922244 1383366 1613927 1844488 2766732 3227854 4841781 5533464 6455708 9683562 9914123 12911416 19367124 19828246 23286661 29742369 38734248 39656492 46573322 59484738 69398861 69859983 79312984 93146644 118969476 138797722 139719966 163006627 186293288 208196583 237938952 277595444 279439932 326013254 416393166 489019881 555190888 558879864 652026508 832786332 978039762 1001326423 1304053016 1665572664 1956079524 2002652846 3003979269 3912159048 4005305692 6007958538 7009284961 8010611384 12015917076 14018569922 21027854883 24031834152 28037139844 42055709766 56074279688 84111419532 168222839064