Search a number
-
+
238766828667832 = 231714965711793153
BaseRepresentation
bin110110010010100000111100…
…000000011100001110111000
31011022101212220211010200122101
4312102200330000130032320
5222243423431114332312
62203451544500233144
7101202222412116133
oct6622407400341670
91138355824120571
10238766828667832
116a095497165523
122294273b99b7b4
13a32c7ccb6483a
1442d653a2c521a
151c90d16d5ca57
hexd9283c01c3b8

238766828667832 has 64 divisors (see below), whose sum is σ = 477276627564000. Its totient is φ = 111589713838080.

The previous prime is 238766828667827. The next prime is 238766828667863.

238766828667832 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132258168 + ... + 134051320.

Almost surely, 2238766828667832 is an apocalyptic number.

It is an amenable number.

238766828667832 is a deficient number, since it is larger than the sum of its proper divisors (238509798896168).

238766828667832 is a wasteful number, since it uses less digits than its factorization.

238766828667832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799896 (or 1799892 counting only the distinct ones).

The product of its digits is 18728091648, while the sum is 82.

The spelling of 238766828667832 in words is "two hundred thirty-eight trillion, seven hundred sixty-six billion, eight hundred twenty-eight million, six hundred sixty-seven thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 17 34 68 136 149 298 596 1192 2533 5066 6571 10132 13142 20264 26284 52568 111707 223414 446828 893656 979079 1793153 1958158 3586306 3916316 7172612 7832632 14345224 16644343 30483601 33288686 60967202 66577372 121934404 133154744 243868808 267179797 534359594 1068719188 2137438376 4542056549 9084113098 11782808363 18168226196 23565616726 36336452392 47131233452 94262466904 200307742171 400615484342 801230968684 1602461937368 1755638446087 3511276892174 7022553784348 14045107568696 29845853583479 59691707166958 119383414333916 238766828667832