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383952425472 = 29327113167521
BaseRepresentation
bin1011001011001010101…
…10010001001000000000
31100201001022020010012200
411211211112101020000
522242313310103342
6452215120553200
736511461524310
oct5454526211000
91321038203180
10383952425472
11138919153110
12624b4a82800
132a28ba68a05
1414824ba9440
159ec2b5694c
hex5965591200

383952425472 has 960 divisors, whose sum is σ = 1450172325888. Its totient is φ = 94887936000.

The previous prime is 383952425459. The next prime is 383952425473. The reversal of 383952425472 is 274524259383.

383952425472 is a `hidden beast` number, since 3 + 8 + 3 + 9 + 52 + 42 + 547 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (383952425473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 736952572 + ... + 736953092.

Almost surely, 2383952425472 is an apocalyptic number.

383952425472 is a gapful number since it is divisible by the number (32) 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 383952425472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725086162944).

383952425472 is an abundant number, since it is smaller than the sum of its proper divisors (1066219900416).

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

383952425472 is a wasteful number, since it uses less digits than its factorization.

383952425472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 642 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 383952425472 in words is "three hundred eighty-three billion, nine hundred fifty-two million, four hundred twenty-five thousand, four hundred seventy-two".