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166266204864 = 26317411112391
BaseRepresentation
bin1001101011011000111…
…1001111001011000000
3120220011101012100002120
42122312033033023000
510211003122023424
6204214233444240
715004142265024
oct2326617171300
9526141170076
10166266204864
1164570a35671
1228282270680
13128a952cc56
148093c1a384
1544d1b5aa79
hex26b63cf2c0

166266204864 has 112 divisors (see below), whose sum is σ = 465940786176. Its totient is φ = 52145049600.

The previous prime is 166266204857. The next prime is 166266204991. The reversal of 166266204864 is 468402662661.

166266204864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 15 ways as a sum of consecutive naturals, for example, 13412109 + ... + 13424499.

Almost surely, 2166266204864 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 166266204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232970393088).

166266204864 is an abundant number, since it is smaller than the sum of its proper divisors (299674581312).

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

166266204864 is a wasteful number, since it uses less digits than its factorization.

166266204864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16534 (or 16524 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 166266204864 in words is "one hundred sixty-six billion, two hundred sixty-six million, two hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 4111 8222 12333 12391 16444 24666 24782 32888 37173 49332 49564 65776 69887 74346 98664 99128 131552 139774 148692 197328 198256 209661 210647 263104 279548 297384 394656 396512 419322 421294 559096 594768 631941 789312 793024 838644 842588 1118192 1189536 1263882 1677288 1685176 2236384 2379072 2527764 3354576 3370352 4472768 5055528 6709152 6740704 10111056 13418304 13481408 20222112 40444224 50939401 101878802 152818203 203757604 305636406 407515208 611272812 815030416 865969817 1222545624 1630060832 1731939634 2445091248 2597909451 3260121664 3463879268 4890182496 5195818902 6927758536 9780364992 10391637804 13855517072 20783275608 27711034144 41566551216 55422068288 83133102432 166266204864