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37442489040 = 243251141671721
BaseRepresentation
bin100010110111101111…
…110000101011010000
310120122102122112000100
4202313233300223100
51103140234122130
625111214252400
72463600622425
oct426757605320
9116572575010
1037442489040
1114974344220
12730b4b7100
1336b9268078
141b52a69d4c
15e921eac60
hex8b7bf0ad0

37442489040 has 480 divisors, whose sum is σ = 142701616512. Its totient is φ = 8718336000.

The previous prime is 37442489039. The next prime is 37442489047. The reversal of 37442489040 is 4098424473.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37442489047) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 21755380 + ... + 21757100.

Almost surely, 237442489040 is an apocalyptic number.

37442489040 is a gapful number since it is divisible by the number (30) 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 37442489040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71350808256).

37442489040 is an abundant number, since it is smaller than the sum of its proper divisors (105259127472).

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

37442489040 is a wasteful number, since it uses less digits than its factorization.

37442489040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 37442489040 in words is "thirty-seven billion, four hundred forty-two million, four hundred eighty-nine thousand, forty".