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5509990277280 = 253254657821641
BaseRepresentation
bin101000000101110010100…
…0000110110000010100000
3201111202020200210111201100
41100023211000312002200
51210233430002333110
615415130554034400
71106040460410366
oct120134500660240
921452220714640
105509990277280
111834856959165
1274ba58718a00
1330c788ba6bc8
1415098371b636
15984da441bc0
hex502e50360a0

5509990277280 has 144 divisors (see below), whose sum is σ = 18806902254504. Its totient is φ = 1469013442560.

The previous prime is 5509990277171. The next prime is 5509990277299. The reversal of 5509990277280 is 827720999055.

5509990277280 is a `hidden beast` number, since 550 + 9 + 9 + 9 + 0 + 2 + 7 + 72 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4222482497424 + 1287507779856 = 2054868^2 + 1134684^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6295260 + ... + 7116900.

Almost surely, 25509990277280 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 5509990277280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9403451127252).

5509990277280 is an abundant number, since it is smaller than the sum of its proper divisors (13296911977224).

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

5509990277280 is a wasteful number, since it uses less digits than its factorization.

5509990277280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826319 (or 826308 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 5509990277280 in words is "five trillion, five hundred nine billion, nine hundred ninety million, two hundred seventy-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 4657 9314 13971 18628 23285 27942 37256 41913 46570 55884 69855 74512 83826 93140 111768 139710 149024 167652 186280 209565 223536 279420 335304 372560 419130 447072 558840 670608 745120 821641 838260 1117680 1341216 1643282 1676520 2235360 2464923 3286564 3353040 4108205 4929846 6573128 6706080 7394769 8216410 9859692 12324615 13146256 14789538 16432820 19719384 24649230 26292512 29579076 32865640 36973845 39438768 49298460 59158152 65731280 73947690 78877536 98596920 118316304 131462560 147895380 197193840 236632608 295790760 394387680 591581520 1183163040 3826382137 7652764274 11479146411 15305528548 19131910685 22958292822 30611057096 34437439233 38263821370 45916585644 57395732055 61222114192 68874878466 76527642740 91833171288 114791464110 122444228384 137749756932 153055285480 172187196165 183666342576 229582928220 275499513864 306110570960 344374392330 367332685152 459165856440 550999027728 612221141920 688748784660 918331712880 1101998055456 1377497569320 1836663425760 2754995138640 5509990277280