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164023461136 = 24192334967217
BaseRepresentation
bin1001100011000010001…
…1110110010100010000
3120200101002002011002001
42120300203312110100
510141410001224021
6203203520003344
714564440262413
oct2306043662420
9520332064061
10164023461136
116361aa71057
1227957160554
131260c9b3c62
147d20013b7a
1543eece9091
hex26308f6510

164023461136 has 80 divisors (see below), whose sum is σ = 350071344000. Its totient is φ = 74103220224.

The previous prime is 164023461131. The next prime is 164023461179. The reversal of 164023461136 is 631164320461.

It is a junction number, because it is equal to n+sod(n) for n = 164023461095 and 164023461104.

It is not an unprimeable number, because it can be changed into a prime (164023461131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2406600 + ... + 2473816.

It is an arithmetic number, because the mean of its divisors is an integer number (4375891800).

Almost surely, 2164023461136 is an apocalyptic number.

164023461136 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 164023461136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175035672000).

164023461136 is an abundant number, since it is smaller than the sum of its proper divisors (186047882864).

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

164023461136 is a wasteful number, since it uses less digits than its factorization.

164023461136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67616 (or 67610 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

Adding to 164023461136 its reverse (631164320461), we get a palindrome (795187781597).

The spelling of 164023461136 in words is "one hundred sixty-four billion, twenty-three million, four hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 349 368 437 698 874 1396 1748 2792 3496 5584 6631 6992 8027 13262 16054 26524 32108 53048 64216 67217 106096 128432 134434 152513 268868 305026 537736 610052 1075472 1220104 1277123 1545991 2440208 2554246 3091982 5108492 6183964 10216984 12367928 20433968 23458733 24735856 29373829 46917466 58747658 93834932 117495316 187669864 234990632 375339728 445715927 469981264 539550859 891431854 1079101718 1782863708 2158203436 3565727416 4316406872 7131454832 8632813744 10251466321 20502932642 41005865284 82011730568 164023461136