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5019407360 = 21051189123
BaseRepresentation
bin1001010110010111…
…00001010000000000
3110221210220022110022
410223023201100000
540234432013420
62150023153012
7235246154462
oct45313412000
913853808408
105019407360
112146363050
12b80ba5768
1361cb95336
143588b4132
151e59dbc25
hex12b2e1400

5019407360 has 88 divisors (see below), whose sum is σ = 13135451616. Its totient is φ = 1825218560.

The previous prime is 5019407357. The next prime is 5019407363. The reversal of 5019407360 is 637049105.

It is an interprime number because it is at equal distance from previous prime (5019407357) and next prime (5019407363).

It is a tau number, because it is divible by the number of its divisors (88).

It is a self number, because there is not a number n which added to its sum of digits gives 5019407360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5019407363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11759 + ... + 100881.

Almost surely, 25019407360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5019407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567725808).

5019407360 is an abundant number, since it is smaller than the sum of its proper divisors (8116044256).

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

5019407360 is a wasteful number, since it uses less digits than its factorization.

5019407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89159 (or 89141 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 5019407360 is about 70847.7759707388. The cubic root of 5019407360 is about 1712.1854982861.

The spelling of 5019407360 in words is "five billion, nineteen million, four hundred seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 7040 11264 14080 28160 56320 89123 178246 356492 445615 712984 891230 980353 1425968 1782460 1960706 2851936 3564920 3921412 4901765 5703872 7129840 7842824 9803530 11407744 14259680 15685648 19607060 22815488 28519360 31371296 39214120 45630976 57038720 62742592 78428240 91261952 114077440 125485184 156856480 228154880 250970368 313712960 456309760 501940736 627425920 1003881472 1254851840 2509703680 5019407360