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5348445483136 = 27731392949009
BaseRepresentation
bin100110111010100100000…
…1100010111000010000000
3200221022021100202200112111
41031311020030113002000
51200112104020430021
615213013020305104
71061261315333230
oct115651014270200
920838240680474
105348445483136
111782299050328
127246936a2194
132ca482893312
14146c1a9a3cc0
15941d305c8e1
hex4dd48317080

5348445483136 has 128 divisors (see below), whose sum is σ = 12573535104000. Its totient is φ = 2217639444480.

The previous prime is 5348445482983. The next prime is 5348445483137. The reversal of 5348445483136 is 6313845448435.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5348445483137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109107400 + ... + 109156408.

It is an arithmetic number, because the mean of its divisors is an integer number (98230743000).

Almost surely, 25348445483136 is an apocalyptic number.

5348445483136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5348445483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286767552000).

5348445483136 is an abundant number, since it is smaller than the sum of its proper divisors (7225089620864).

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

5348445483136 is a wasteful number, since it uses less digits than its factorization.

5348445483136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52990 (or 52978 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 58.

The spelling of 5348445483136 in words is "five trillion, three hundred forty-eight billion, four hundred forty-five million, four hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3929 3968 6944 7858 13888 15716 27503 27776 31432 49009 55006 62864 98018 110012 121799 125728 196036 220024 243598 251456 343063 392072 440048 487196 502912 686126 784144 852593 880096 974392 1372252 1519279 1568288 1705186 1760192 1948784 2744504 3038558 3136576 3410372 3520384 3897568 5489008 6077116 6273152 6820744 7795136 10634953 10978016 12154232 13641488 15590272 21269906 21956032 24308464 27282976 42539812 43912064 48616928 54565952 85079624 97233856 109131904 170159248 192556361 194467712 340318496 385112722 680636992 770225444 1347894527 1361273984 1540450888 2695789054 3080901776 5391578108 5969247191 6161803552 10783156216 11938494382 12323607104 21566312432 23876988764 24647214208 41784730337 43132624864 47753977528 83569460674 86265249728 95507955056 167138921348 172530499456 191015910112 334277842696 382031820224 668555685392 764063640448 1337111370784 2674222741568 5348445483136