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5634864840 = 2335114579341
BaseRepresentation
bin1010011111101110…
…10011011011001000
3112112200222210101210
411033313103123020
543020011133330
62331050413120
7256431363243
oct51767233310
915480883353
105634864840
1124318093a0
1211131311a0
136ba543867
143b652225a
1522ea5e8b0
hex14fdd36c8

5634864840 has 128 divisors (see below), whose sum is σ = 18483707520. Its totient is φ = 1362892800.

The previous prime is 5634864787. The next prime is 5634864853. The reversal of 5634864840 is 484684365.

It is a self number, because there is not a number n which added to its sum of digits gives 5634864840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598570 + ... + 607910.

It is an arithmetic number, because the mean of its divisors is an integer number (144403965).

Almost surely, 25634864840 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 5634864840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241853760).

5634864840 is an abundant number, since it is smaller than the sum of its proper divisors (12848842680).

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

5634864840 is a wasteful number, since it uses less digits than its factorization.

5634864840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9823 (or 9819 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The square root of 5634864840 is about 75065.7367911619. The cubic root of 5634864840 is about 1779.4856949516.

The spelling of 5634864840 in words is "five billion, six hundred thirty-four million, eight hundred sixty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 457 660 914 1320 1371 1828 2285 2742 3656 4570 5027 5484 6855 9140 9341 10054 10968 13710 15081 18280 18682 20108 25135 27420 28023 30162 37364 40216 46705 50270 54840 56046 60324 74728 75405 93410 100540 102751 112092 120648 140115 150810 186820 201080 205502 224184 280230 301620 308253 373640 411004 513755 560460 603240 616506 822008 1027510 1120920 1233012 1541265 2055020 2466024 3082530 4110040 4268837 6165060 8537674 12330120 12806511 17075348 21344185 25613022 34150696 42688370 46957207 51226044 64032555 85376740 93914414 102452088 128065110 140871621 170753480 187828828 234786035 256130220 281743242 375657656 469572070 512260440 563486484 704358105 939144140 1126972968 1408716210 1878288280 2817432420 5634864840