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166046564631320 = 235411312233465851
BaseRepresentation
bin100101110000010010111010…
…100000000100001100011000
3210202220220012120210221212222
4211300102322200010030120
5133231001331021200240
61345052423321523212
746655316443501612
oct4560227240041430
9722826176727788
10166046564631320
11489a8a52a0040a
1216758b2a643508
13718617c1665b9
142d009a76d1db2
15142e3bb2aceb5
hex9704ba804318

166046564631320 has 128 divisors (see below), whose sum is σ = 387368019118080. Its totient is φ = 64015635840000.

The previous prime is 166046564631319. The next prime is 166046564631341. The reversal of 166046564631320 is 23136465640661.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46176395 + ... + 49642245.

It is an arithmetic number, because the mean of its divisors is an integer number (3026312649360).

Almost surely, 2166046564631320 is an apocalyptic number.

166046564631320 is a gapful number since it is divisible by the number (10) 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 166046564631320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193684009559040).

166046564631320 is an abundant number, since it is smaller than the sum of its proper divisors (221321454486760).

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

166046564631320 is a wasteful number, since it uses less digits than its factorization.

166046564631320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466257 (or 3466253 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 53.

The spelling of 166046564631320 in words is "one hundred sixty-six trillion, forty-six billion, five hundred sixty-four million, six hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 131 164 205 223 262 328 410 446 524 655 820 892 1048 1115 1310 1640 1784 2230 2620 4460 5240 5371 8920 9143 10742 18286 21484 26855 29213 36572 42968 45715 53710 58426 73144 91430 107420 116852 146065 182860 214840 233704 292130 365720 584260 1168520 1197733 2395466 3465851 4790932 5988665 6931702 9581864 11977330 13863404 17329255 23954660 27726808 34658510 47909320 69317020 138634040 142099891 284199782 454026481 568399564 710499455 772884773 908052962 1136799128 1420998910 1545769546 1816105924 2270132405 2841997820 3091539092 3632211848 3864423865 4540264810 5683995640 6183078184 7728847730 9080529620 15457695460 18161059240 18615085721 30915390920 31688275693 37230171442 63376551386 74460342884 93075428605 101247905263 126753102772 148920685768 158441378465 186150857210 202495810526 253506205544 316882756930 372301714420 404991621052 506239526315 633765513860 744603428840 809983242104 1012479052630 1267531027720 2024958105260 4049916210520 4151164115783 8302328231566 16604656463132 20755820578915 33209312926264 41511641157830 83023282315660 166046564631320