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2043727507152 = 24361271379659
BaseRepresentation
bin11101101111010111101…
…001101110111011010000
321020101012212212101000000
4131233113221232323100
5231441023220212102
64202513033130000
7300440321116452
oct35572751567320
97211185771000
102043727507152
11718815997151
12290108259900
1311a95194b966
1470cba11c2d2
1538266d6101c
hex1dbd7a6eed0

2043727507152 has 140 divisors (see below), whose sum is σ = 5983618531840. Its totient is φ = 675877898304.

The previous prime is 2043727507117. The next prime is 2043727507223. The reversal of 2043727507152 is 2517057273402.

2043727507152 is a `hidden beast` number, since 20 + 4 + 3 + 72 + 7 + 507 + 1 + 52 = 666.

It is a super-2 number, since 2×20437275071522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2043727507098 and 2043727507107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 791499 + ... + 2171157.

Almost surely, 22043727507152 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 2043727507152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991809265920).

2043727507152 is an abundant number, since it is smaller than the sum of its proper divisors (3939891024688).

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

2043727507152 is a wasteful number, since it uses less digits than its factorization.

2043727507152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379812 (or 1379791 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 2043727507152 in words is "two trillion, forty-three billion, seven hundred twenty-seven million, five hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 127 144 162 216 243 254 324 381 432 486 508 648 729 762 972 1016 1143 1296 1458 1524 1944 2032 2286 2916 3048 3429 3888 4572 5832 6096 6858 9144 10287 11664 13716 18288 20574 27432 30861 41148 54864 61722 82296 92583 123444 164592 185166 246888 370332 493776 740664 1379659 1481328 2759318 4138977 5518636 8277954 11037272 12416931 16555908 22074544 24833862 33111816 37250793 49667724 66223632 74501586 99335448 111752379 149003172 175216693 198670896 223504758 298006344 335257137 350433386 447009516 525650079 596012688 670514274 700866772 894019032 1005771411 1051300158 1341028548 1401733544 1576950237 1788038064 2011542822 2102600316 2682057096 2803467088 3153900474 4023085644 4205200632 4730850711 5364114192 6307800948 8046171288 8410401264 9461701422 12615601896 14192552133 16092342576 18923402844 25231203792 28385104266 37846805688 42577656399 56770208532 75693611376 85155312798 113540417064 127732969197 170310625596 227080834128 255465938394 340621251192 510931876788 681242502384 1021863753576 2043727507152