Search a number
-
+
868020406312400 = 2452111487132668033
BaseRepresentation
bin1100010101011101011011111…
…1111110011101110111010000
311012211101221101120101020012022
43011113112333332131313100
51402233121243003444100
612314043023014351012
7350556255566542055
oct30527267776356720
94184357346336168
10868020406312400
1123163a429133120
128143020595b468
132b345c85b575b3
141144c5aa0b902c
156a543094eee85
hex31575bff9ddd0

868020406312400 has 120 divisors (see below), whose sum is σ = 2276532518914944. Its totient is φ = 315431512883200.

The previous prime is 868020406312363. The next prime is 868020406312489. The reversal of 868020406312400 is 4213604020868.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59791217 + ... + 72876816.

Almost surely, 2868020406312400 is an apocalyptic number.

868020406312400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

868020406312400 is an abundant number, since it is smaller than the sum of its proper divisors (1408512112602544).

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

868020406312400 is a wasteful number, since it uses less digits than its factorization.

868020406312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132669549 (or 132669538 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 868020406312400 in words is "eight hundred sixty-eight trillion, twenty billion, four hundred six million, three hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1487 2200 2974 4400 5948 7435 11896 14870 16357 23792 29740 32714 37175 59480 65428 74350 81785 118960 130856 148700 163570 261712 297400 327140 408925 594800 654280 817850 1308560 1635700 3271400 6542800 132668033 265336066 530672132 663340165 1061344264 1326680330 1459348363 2122688528 2653360660 2918696726 3316700825 5306721320 5837393452 6633401650 7296741815 10613442640 11674786904 13266803300 14593483630 23349573808 26533606600 29186967260 36483709075 53067213200 58373934520 72967418150 116747869040 145934836300 197277365071 291869672600 394554730142 583739345200 789109460284 986386825355 1578218920568 1972773650710 2170051015781 3156437841136 3945547301420 4340102031562 4931934126775 7891094602840 8680204063124 9863868253550 10850255078905 15782189205680 17360408126248 19727736507100 21700510157810 34720816252496 39455473014200 43401020315620 54251275394525 78910946028400 86802040631240 108502550789050 173604081262480 217005101578100 434010203156200 868020406312400