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42446553000 = 2335315193701
BaseRepresentation
bin100111100010000000…
…101111111110101000
311001120011200022021120
4213202000233332220
51143412304144000
631255532535240
73031602514245
oct474200577650
9131504608246
1042446553000
1117001a77575
128287321520
134005bba667
1420a94a85cc
1511866a66a0
hex9e202ffa8

42446553000 has 128 divisors (see below), whose sum is σ = 133311709440. Its totient is φ = 11244000000.

The previous prime is 42446552987. The next prime is 42446553013. The reversal of 42446553000 is 35564424.

42446553000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42446552987) and next prime (42446553013).

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, 406150 + ... + 499850.

It is an arithmetic number, because the mean of its divisors is an integer number (1041497730).

Almost surely, 242446553000 is an apocalyptic number.

42446553000 is a gapful number since it is divisible by the number (40) 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 42446553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66655854720).

42446553000 is an abundant number, since it is smaller than the sum of its proper divisors (90865156440).

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

42446553000 is a wasteful number, since it uses less digits than its factorization.

42446553000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93876 (or 93862 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 42446553000 in words is "forty-two billion, four hundred forty-six million, five hundred fifty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 151 200 250 300 302 375 453 500 600 604 750 755 906 1000 1208 1500 1510 1812 2265 3000 3020 3624 3775 4530 6040 7550 9060 11325 15100 18120 18875 22650 30200 37750 45300 56625 75500 90600 93701 113250 151000 187402 226500 281103 374804 453000 468505 562206 749608 937010 1124412 1405515 1874020 2248824 2342525 2811030 3748040 4685050 5622060 7027575 9370100 11244120 11712625 14055150 14148851 18740200 23425250 28110300 28297702 35137875 42446553 46850500 56220600 56595404 70275750 70744255 84893106 93701000 113190808 140551500 141488510 169786212 212232765 281103000 282977020 339572424 353721275 424465530 565954040 707442550 848931060 1061163825 1414885100 1697862120 1768606375 2122327650 2829770200 3537212750 4244655300 5305819125 7074425500 8489310600 10611638250 14148851000 21223276500 42446553000