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5581457712 = 243389179811
BaseRepresentation
bin1010011001010111…
…00100100100110000
3112101222111102121000
411030223210210300
542412323121322
62321502002000
7255212415315
oct51453444460
915358442530
105581457712
112404650876
1210b9276300
136ac4646cc
143ad3bcd0c
1522a0103ac
hex14cae4930

5581457712 has 160 divisors (see below), whose sum is σ = 16311456000. Its totient is φ = 1827048960.

The previous prime is 5581457701. The next prime is 5581457729. The reversal of 5581457712 is 2177541855.

5581457712 is a `hidden beast` number, since 5 + 58 + 14 + 577 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6881787 + ... + 6882597.

It is an arithmetic number, because the mean of its divisors is an integer number (101946600).

Almost surely, 25581457712 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 5581457712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155728000).

5581457712 is an abundant number, since it is smaller than the sum of its proper divisors (10729998288).

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

5581457712 is a wasteful number, since it uses less digits than its factorization.

5581457712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1084 counting only the distinct ones).

The product of its digits is 392000, while the sum is 45.

The square root of 5581457712 is about 74709.1541378966. The cubic root of 5581457712 is about 1773.8458634367.

It can be divided in two parts, 55814 and 57712, that added together give a triangular number (113526 = T476).

The spelling of 5581457712 in words is "five billion, five hundred eighty-one million, four hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 179 216 267 356 358 432 534 537 712 716 801 811 1068 1074 1424 1432 1602 1611 1622 2136 2148 2403 2433 2864 3204 3222 3244 4272 4296 4806 4833 4866 6408 6444 6488 7299 8592 9612 9666 9732 12816 12888 12976 14598 15931 19224 19332 19464 21897 25776 29196 31862 38448 38664 38928 43794 47793 58392 63724 72179 77328 87588 95586 116784 127448 143379 144358 145169 175176 191172 216537 254896 286758 288716 290338 350352 382344 430137 433074 435507 573516 577432 580676 649611 764688 860274 866148 871014 1147032 1154864 1161352 1299222 1306521 1720548 1732296 1742028 1948833 2294064 2322704 2598444 2613042 3441096 3464592 3484056 3897666 3919563 5196888 5226084 6882192 6968112 7795332 7839126 10393776 10452168 12920041 15590664 15678252 20904336 25840082 31181328 31356504 38760123 51680164 62713008 77520246 103360328 116280369 155040492 206720656 232560738 310080984 348841107 465121476 620161968 697682214 930242952 1395364428 1860485904 2790728856 5581457712