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5506065720 = 233454339521
BaseRepresentation
bin1010010000010111…
…11110010100111000
3112012201122010020000
411020023332110320
542234023100340
62310210033000
7253305533511
oct51013762470
915181563200
105506065720
112376037741
121097b78760
1369995886c
143a3395a08
152235bbd30
hex1482fe538

5506065720 has 160 divisors (see below), whose sum is σ = 18937361520. Its totient is φ = 1434101760.

The previous prime is 5506065667. The next prime is 5506065739. The reversal of 5506065720 is 275606055.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119560 + ... + 159080.

Almost surely, 25506065720 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 5506065720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9468680760).

5506065720 is an abundant number, since it is smaller than the sum of its proper divisors (13431295800).

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

5506065720 is a wasteful number, since it uses less digits than its factorization.

5506065720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39587 (or 39574 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5506065720 is about 74202.8686777001. The cubic root of 5506065720 is about 1765.8228415141.

The spelling of 5506065720 in words is "five billion, five hundred six million, sixty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 81 86 90 108 120 129 135 162 172 180 215 216 258 270 324 344 360 387 405 430 516 540 645 648 774 810 860 1032 1080 1161 1290 1548 1620 1720 1935 2322 2580 3096 3240 3483 3870 4644 5160 5805 6966 7740 9288 11610 13932 15480 17415 23220 27864 34830 39521 46440 69660 79042 118563 139320 158084 197605 237126 316168 355689 395210 474252 592815 711378 790420 948504 1067067 1185630 1422756 1580840 1699403 1778445 2134134 2371260 2845512 3201201 3398806 3556890 4268268 4742520 5098209 5335335 6402402 6797612 7113780 8497015 8536536 10196418 10670670 12804804 13595224 14227560 15294627 16006005 16994030 20392836 21341340 25491045 25609608 30589254 32012010 33988060 40785672 42682680 45883881 50982090 61178508 64024020 67976120 76473135 91767762 101964180 122357016 128048040 137651643 152946270 183535524 203928360 229419405 275303286 305892540 367071048 458838810 550606572 611785080 688258215 917677620 1101213144 1376516430 1835355240 2753032860 5506065720