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164926829936 = 241147167119389
BaseRepresentation
bin1001100110011001100…
…1111011010101110000
3120202201000221001002202
42121212121323111300
510200232232024221
6203433310202332
714626016631611
oct2314631732560
9522630831082
10164926829936
1163a43994440
1227b697b33a8
1312724bb9acb
147da7da9c08
15445428dd0b
hex266667b570

164926829936 has 80 divisors (see below), whose sum is σ = 358147077120. Its totient is φ = 72931741440.

The previous prime is 164926829923. The next prime is 164926829953. The reversal of 164926829936 is 639928629461.

It is a super-3 number, since 3×1649268299363 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1321730 + ... + 1441118.

It is an arithmetic number, because the mean of its divisors is an integer number (4476838464).

Almost surely, 2164926829936 is an apocalyptic number.

164926829936 is a gapful number since it is divisible by the number (16) 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 164926829936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179073538560).

164926829936 is an abundant number, since it is smaller than the sum of its proper divisors (193220247184).

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

164926829936 is a wasteful number, since it uses less digits than its factorization.

164926829936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119622 (or 119616 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 65.

The spelling of 164926829936 in words is "one hundred sixty-four billion, nine hundred twenty-six million, eight hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 167 176 188 334 376 517 668 752 1034 1336 1837 2068 2672 3674 4136 7348 7849 8272 14696 15698 29392 31396 62792 86339 119389 125584 172678 238778 345356 477556 690712 955112 1313279 1381424 1910224 2626558 5253116 5611283 10506232 11222566 19937963 21012464 22445132 39875926 44890264 61724113 79751852 89780528 123448226 159503704 219317593 246896452 319007408 438635186 493792904 877270372 937084261 987585808 1754540744 1874168522 3509081488 3748337044 7496674088 10307926871 14993348176 20615853742 41231707484 82463414968 164926829936