Search a number
-
+
4532636066010 = 23513431811493273
BaseRepresentation
bin100000111110101011000…
…1010011010000011011010
3121001022112012102100022020
41001331112022122003122
51043230314313103020
613350133025235310
7645320642604123
oct101752612320332
917038465370266
104532636066010
111498309991548
12612556792b36
1326b56c49b570
14119548b1b04a
157cd86d6dc40
hex41f5629a0da

4532636066010 has 128 divisors (see below), whose sum is σ = 12053803297536. Its totient is φ = 1083757086720.

The previous prime is 4532636065981. The next prime is 4532636066039. The reversal of 4532636066010 is 106606362354.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4532636065981) and next prime (4532636066039).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2288734 + ... + 3782006.

It is an arithmetic number, because the mean of its divisors is an integer number (94170338262).

Almost surely, 24532636066010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4532636066010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026901648768).

4532636066010 is an abundant number, since it is smaller than the sum of its proper divisors (7521167231526).

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

4532636066010 is a wasteful number, since it uses less digits than its factorization.

4532636066010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493520.

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 4532636066010 in words is "four trillion, five hundred thirty-two billion, six hundred thirty-six million, sixty-six thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 78 86 129 130 181 195 215 258 362 390 430 543 559 645 905 1086 1118 1290 1677 1810 2353 2715 2795 3354 4706 5430 5590 7059 7783 8385 11765 14118 15566 16770 23349 23530 35295 38915 46698 70590 77830 101179 116745 202358 233490 303537 505895 607074 1011790 1493273 1517685 2986546 3035370 4479819 7466365 8959638 14932730 19412549 22399095 38825098 44798190 58237647 64210739 97062745 116475294 128421478 192632217 194125490 270282413 291188235 321053695 385264434 540564826 582376470 642107390 810847239 834739607 963161085 1351412065 1621694478 1669479214 1926322170 2504218821 2702824130 3513671369 4054236195 4173698035 5008437642 7027342738 8108472390 8347396070 10541014107 11622143759 12521094105 17568356845 21082028214 23244287518 25042188210 34866431277 35136713690 52705070535 58110718795 69732862554 105410141070 116221437590 151087868867 174332156385 302175737734 348664312770 453263606601 755439344335 906527213202 1510878688670 2266318033005 4532636066010