Search a number
-
+
49508607143232 = 2633162717609597
BaseRepresentation
bin10110100000111000111101…
…11100010010110101000000
320111021222100221210201202000
423100130132330102311000
522442122111412040412
6253143535023024000
713266610303151466
oct1320343674226500
9214258327721660
1049508607143232
1114858534055806
12567712443b000
132181845845383
14c3232d574836
155acc749a64dc
hex2d071ef12d40

49508607143232 has 112 divisors (see below), whose sum is σ = 145635601763520. Its totient is φ = 16492724983296.

The previous prime is 49508607143221. The next prime is 49508607143311. The reversal of 49508607143232 is 23234170680594.

49508607143232 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 8 + 607 + 1 + 4 + 3 + 23 + 2 = 666.

It is a super-3 number, since 3×495086071432323 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 5993343 + ... + 11616254.

It is a 1-persistent number, because it is pandigital, but 2⋅49508607143232 = 99017214286464 is not.

Almost surely, 249508607143232 is an apocalyptic number.

It is an amenable number.

49508607143232 is an abundant number, since it is smaller than the sum of its proper divisors (96126994620288).

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

49508607143232 is a wasteful number, since it uses less digits than its factorization.

49508607143232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17611245 (or 17611229 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 49508607143232 in words is "forty-nine trillion, five hundred eight billion, six hundred seven million, one hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1627 1728 3254 4881 6508 9762 13016 14643 19524 26032 29286 39048 43929 52064 58572 78096 87858 104128 117144 156192 175716 234288 312384 351432 468576 702864 937152 1405728 2811456 17609597 35219194 52828791 70438388 105657582 140876776 158486373 211315164 281753552 316972746 422630328 475459119 563507104 633945492 845260656 950918238 1127014208 1267890984 1690521312 1901836476 2535781968 3381042624 3803672952 5071563936 7607345904 10143127872 15214691808 28650814319 30429383616 57301628638 85952442957 114603257276 171904885914 229206514552 257857328871 343809771828 458413029104 515714657742 687619543656 773571986613 916826058208 1031429315484 1375239087312 1547143973226 1833652116416 2062858630968 2750478174624 3094287946452 4125717261936 5500956349248 6188575892904 8251434523872 12377151785808 16502869047744 24754303571616 49508607143232