Search a number
-
+
104250748577760 = 25325237730457027
BaseRepresentation
bin10111101101000011000100…
…110101100010011111100000
3111200010021101220200202222100
4113231003010311202133200
5102131021013113442020
61005420044401010400
730646603506661521
oct2755030465423740
9450107356622870
10104250748577760
11302435488405a4
12b8385b0923a00
134622a5a11a885
141ba5a98144848
15c0bc0415ea90
hex5ed0c4d627e0

104250748577760 has 144 divisors (see below), whose sum is σ = 355905357037776. Its totient is φ = 27788503209984.

The previous prime is 104250748577623. The next prime is 104250748577761. The reversal of 104250748577760 is 67775847052401.

It is a happy number.

104250748577760 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 50 + 7 + 4 + 8 + 577 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104250748577761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11805634 + ... + 18651393.

It is an arithmetic number, because the mean of its divisors is an integer number (2471564979429).

Almost surely, 2104250748577760 is an apocalyptic number.

104250748577760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104250748577760 is an abundant number, since it is smaller than the sum of its proper divisors (251654608460016).

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

104250748577760 is a wasteful number, since it uses less digits than its factorization.

104250748577760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30459425 (or 30459414 counting only the distinct ones).

The product of its (nonzero) digits is 92198400, while the sum is 63.

The spelling of 104250748577760 in words is "one hundred four trillion, two hundred fifty billion, seven hundred forty-eight million, five hundred seventy-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2377 4754 7131 9508 11885 14262 19016 21393 23770 28524 35655 38032 42786 47540 57048 71310 76064 85572 95080 106965 114096 142620 171144 190160 213930 228192 285240 342288 380320 427860 570480 684576 855720 1140960 1711440 3422880 30457027 60914054 91371081 121828108 152285135 182742162 243656216 274113243 304570270 365484324 456855405 487312432 548226486 609140540 730968648 913710810 974624864 1096452972 1218281080 1370566215 1461937296 1827421620 2192905944 2436562160 2741132430 2923874592 3654843240 4385811888 4873124320 5482264860 7309686480 8771623776 10964529720 14619372960 21929059440 43858118880 72396353179 144792706358 217189059537 289585412716 361981765895 434378119074 579170825432 651567178611 723963531790 868756238148 1085945297685 1158341650864 1303134357222 1447927063580 1737512476296 2171890595370 2316683301728 2606268714444 2895854127160 3257835893055 3475024952592 4343781190740 5212537428888 5791708254320 6515671786110 6950049905184 8687562381480 10425074857776 11583416508640 13031343572220 17375124762960 20850149715552 26062687144440 34750249525920 52125374288880 104250748577760