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537248034048 = 283112310725841
BaseRepresentation
bin1111101000101100111…
…10100110110100000000
31220100201201221220011010
413310112132212310000
532300240444042143
61050450333520520
753546335640655
oct7642636466400
91810651856133
10537248034048
11197933566810
1288157343140
133b87c0206cb
141c008111c2c
15de95c1ca33
hex7d167a6d00

537248034048 has 288 divisors, whose sum is σ = 1642945876992. Its totient is φ = 154262732800.

The previous prime is 537248033983. The next prime is 537248034079. The reversal of 537248034048 is 840430842735.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 537248033988 and 537248034006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20777608 + ... + 20803448.

It is an arithmetic number, because the mean of its divisors is an integer number (5704673184).

Almost surely, 2537248034048 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 537248034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821472938496).

537248034048 is an abundant number, since it is smaller than the sum of its proper divisors (1105697842944).

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

537248034048 is a wasteful number, since it uses less digits than its factorization.

537248034048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26001 (or 25987 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 537248034048 in words is "five hundred thirty-seven billion, two hundred forty-eight million, thirty-four thousand, forty-eight".