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164948883990 = 2351119193136309
BaseRepresentation
bin1001100110011110111…
…0000011101000010110
3120202202120102111120120
42121213232003220112
510200303403241430
6203435415012410
714626405244262
oct2314756035026
9522676374516
10164948883990
1163a55387a30
1227b7506a106
131272963c147
147daacab0a2
154456198610
hex2667b83a16

164948883990 has 128 divisors (see below), whose sum is σ = 456954739200. Its totient is φ = 37686435840.

The previous prime is 164948883977. The next prime is 164948884013. The reversal of 164948883990 is 99388849461.

164948883990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1141956 + ... + 1278264.

It is an arithmetic number, because the mean of its divisors is an integer number (3569958900).

Almost surely, 2164948883990 is an apocalyptic number.

164948883990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164948883990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228477369600).

164948883990 is an abundant number, since it is smaller than the sum of its proper divisors (292005855210).

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

164948883990 is a wasteful number, since it uses less digits than its factorization.

164948883990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136542.

The product of its (nonzero) digits is 107495424, while the sum is 69.

The spelling of 164948883990 in words is "one hundred sixty-four billion, nine hundred forty-eight million, eight hundred eighty-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 193 209 285 330 386 418 570 579 627 965 1045 1158 1254 1930 2090 2123 2895 3135 3667 4246 5790 6270 6369 7334 10615 11001 12738 18335 21230 22002 31845 36670 40337 55005 63690 80674 110010 121011 136309 201685 242022 272618 403370 408927 605055 681545 817854 1210110 1363090 1499399 2044635 2589871 2998798 4089270 4498197 5179742 7496995 7769613 8996394 12949355 14993990 15539226 22490985 25898710 26307637 28488581 38848065 44981970 52615274 56977162 77696130 78922911 85465743 131538185 142442905 157845822 170931486 263076370 284885810 289384007 394614555 427328715 499845103 578768014 789229110 854657430 868152021 999690206 1446920035 1499535309 1736304042 2499225515 2893840070 2999070618 4340760105 4998451030 5498296133 7497676545 8681520210 10996592266 14995353090 16494888399 27491480665 32989776798 54982961330 82474441995 164948883990