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4532443842048 = 29311371936319
BaseRepresentation
bin100000111110100101010…
…1101001000011000000000
3121001022000210201100121020
41001331022231020120000
51043224421110421143
613350102001225440
7645313116664323
oct101751255103000
917038023640536
104532443842048
11149822042a871
12612502332280
1326b53b707785
1411952b3a07ba
157cd7504d883
hex41f4ab48600

4532443842048 has 160 divisors (see below), whose sum is σ = 12198847795200. Its totient is φ = 1495320723456.

The previous prime is 4532443842007. The next prime is 4532443842109. The reversal of 4532443842048 is 8402483442354.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124777233 + ... + 124813551.

It is an arithmetic number, because the mean of its divisors is an integer number (76242798720).

Almost surely, 24532443842048 is an apocalyptic number.

4532443842048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4532443842048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099423897600).

4532443842048 is an abundant number, since it is smaller than the sum of its proper divisors (7666403953152).

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

4532443842048 is a wasteful number, since it uses less digits than its factorization.

4532443842048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37172 (or 37156 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 51.

The spelling of 4532443842048 in words is "four trillion, five hundred thirty-two billion, four hundred forty-three million, eight hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 512 678 719 768 904 1356 1438 1536 1808 2157 2712 2876 3616 4314 5424 5752 7232 8628 10848 11504 14464 17256 21696 23008 28928 34512 36319 43392 46016 57856 69024 72638 81247 86784 92032 108957 138048 145276 162494 173568 184064 217914 243741 276096 290552 324988 368128 435828 487482 552192 581104 649976 871656 974964 1104384 1162208 1299952 1743312 1949928 2324416 2599904 3486624 3899856 4104047 4648832 5199808 6973248 7799712 8208094 9297664 10399616 12312141 13946496 15599424 16416188 18595328 20799232 24624282 26113361 27892992 31198848 32832376 41598464 49248564 52226722 55785984 62397696 65664752 78340083 98497128 104453444 124795392 131329504 156680166 196994256 208906888 262659008 313360332 393988512 417813776 525318016 626720664 787977024 835627552 1050636032 1253441328 1575954048 1671255104 2101272064 2506882656 2950809793 3151908096 3342510208 5013765312 5901619586 6303816192 6685020416 8852429379 10027530624 11803239172 13370040832 17704858758 20055061248 23606478344 35409717516 40110122496 47212956688 70819435032 94425913376 141638870064 188851826752 283277740128 377703653504 566555480256 755407307008 1133110960512 1510814614016 2266221921024 4532443842048