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164435543064 = 233213571307669
BaseRepresentation
bin1001100100100100011…
…1110100010000011000
3120201102210111002012200
42121021013310100120
510143230444334224
6203312440210200
714610603024432
oct2311107642030
9521383432180
10164435543064
1163811639331
1227a51169960
1312677195910
147d5ca41652
1544260975c9
hex26491f4418

164435543064 has 96 divisors (see below), whose sum is σ = 480445165200. Its totient is φ = 50506778880.

The previous prime is 164435543029. The next prime is 164435543081. The reversal of 164435543064 is 460345534461.

164435543064 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 3 + 554 + 30 + 64 = 666.

It is a super-3 number, since 3×1644355430643 (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 23 ways as a sum of consecutive naturals, for example, 380622 + ... + 688290.

Almost surely, 2164435543064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164435543064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240222582600).

164435543064 is an abundant number, since it is smaller than the sum of its proper divisors (316009622136).

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

164435543064 is a wasteful number, since it uses less digits than its factorization.

164435543064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308265 (or 308258 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 164435543064 in words is "one hundred sixty-four billion, four hundred thirty-five million, five hundred forty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 571 936 1142 1713 2284 3426 4568 5139 6852 7423 10278 13704 14846 20556 22269 29692 41112 44538 59384 66807 89076 133614 178152 267228 307669 534456 615338 923007 1230676 1846014 2461352 2769021 3692028 3999697 5538042 7384056 7999394 11076084 11999091 15998788 22152168 23998182 31997576 35997273 47996364 71994546 95992728 143989092 175678999 287978184 351357998 527036997 702715996 1054073994 1405431992 1581110991 2108147988 2283826987 3162221982 4216295976 4567653974 6324443964 6851480961 9135307948 12648887928 13702961922 18270615896 20554442883 27405923844 41108885766 54811847688 82217771532 164435543064