Search a number
-
+
166356040345344 = 283292977721359
BaseRepresentation
bin100101110100110011001000…
…101100001110011100000000
3210211000111000110222010121100
4211310303020230032130000
5133301034132312022334
61345450524312254400
750016553521612543
oct4564631054163400
9724014013863540
10166356040345344
1149008222977923
12167a8ab93a1400
1371a93cc176385
142d119650bc85a
1514374807b5c99
hex974cc8b0e700

166356040345344 has 108 divisors (see below), whose sum is σ = 480161784866400. Its totient is φ = 55392322732032.

The previous prime is 166356040345307. The next prime is 166356040345361. The reversal of 166356040345344 is 443543040653661.

166356040345344 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 5 + 60 + 40 + 3 + 4 + 534 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36720264 + ... + 41001095.

Almost surely, 2166356040345344 is an apocalyptic number.

It is an amenable number.

166356040345344 is an abundant number, since it is smaller than the sum of its proper divisors (313805744521056).

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

166356040345344 is an equidigital number, since it uses as much as digits as its factorization.

166356040345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77722310 (or 77722293 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 166356040345344 in words is "one hundred sixty-six trillion, three hundred fifty-six billion, forty million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 929 1152 1858 2304 2787 3716 5574 7432 8361 11148 14864 16722 22296 29728 33444 44592 59456 66888 89184 118912 133776 178368 237824 267552 356736 535104 713472 1070208 2140416 77721359 155442718 233164077 310885436 466328154 621770872 699492231 932656308 1243541744 1398984462 1865312616 2487083488 2797968924 3730625232 4974166976 5595937848 7461250464 9948333952 11191875696 14922500928 19896667904 22383751392 29845001856 44767502784 59690003712 72203142511 89535005568 144406285022 179070011136 216609427533 288812570044 433218855066 577625140088 649828282599 866437710132 1155250280176 1299656565198 1732875420264 2310500560352 2599313130396 3465750840528 4621001120704 5198626260792 6931501681056 9242002241408 10397252521584 13863003362112 18484004482816 20794505043168 27726006724224 41589010086336 55452013448448 83178020172672 166356040345344