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5517043740 = 22325136138651
BaseRepresentation
bin1010010001101011…
…10110100000011100
3112020111021212020100
411020311312200130
542244330344430
62311241221100
7253501045425
oct51065664034
915214255210
105517043740
11238125568a
12109b791790
1369c000630
143a4a1264c
15224539960
hex148d7681c

5517043740 has 144 divisors (see below), whose sum is σ = 18318265056. Its totient is φ = 1335744000.

The previous prime is 5517043733. The next prime is 5517043747. The reversal of 5517043740 is 473407155.

It is a happy number.

5517043740 is a `hidden beast` number, since 55 + 170 + 437 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5517043733) and next prime (5517043747).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5517043695 and 5517043704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5517043747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123415 + ... + 162065.

It is an arithmetic number, because the mean of its divisors is an integer number (127210174).

Almost surely, 25517043740 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 5517043740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9159132528).

5517043740 is an abundant number, since it is smaller than the sum of its proper divisors (12801221316).

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

5517043740 is a wasteful number, since it uses less digits than its factorization.

5517043740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38740 (or 38735 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5517043740 is about 74276.8048585829. The cubic root of 5517043740 is about 1766.9956310791.

The spelling of 5517043740 in words is "five billion, five hundred seventeen million, forty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 61 65 78 90 117 122 130 156 180 183 195 234 244 260 305 366 390 468 549 585 610 732 780 793 915 1098 1170 1220 1586 1830 2196 2340 2379 2745 3172 3660 3965 4758 5490 7137 7930 9516 10980 11895 14274 15860 23790 28548 35685 38651 47580 71370 77302 115953 142740 154604 193255 231906 347859 386510 463812 502463 579765 695718 773020 1004926 1159530 1391436 1507389 1739295 2009852 2319060 2357711 2512315 3014778 3478590 4522167 4715422 5024630 6029556 6957180 7073133 7536945 9044334 9430844 10049260 11788555 14146266 15073890 18088668 21219399 22610835 23577110 28292532 30147780 30650243 35365665 42438798 45221670 47154220 61300486 70731330 84877596 90443340 91950729 106096995 122600972 141462660 153251215 183901458 212193990 275852187 306502430 367802916 424387980 459753645 551704374 613004860 919507290 1103408748 1379260935 1839014580 2758521870 5517043740