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981493567040 = 26573192916229
BaseRepresentation
bin11100100100001011001…
…00110100111001000000
310110211101222022020001002
432102011210310321000
5112040044323121130
62030520353231132
7130624216445000
oct16220544647100
93424358266032
10981493567040
113492815929a8
1213a2782624a8
13717291700ac
143570c66c000
151a7e6bc3b45
hexe485934e40

981493567040 has 448 divisors, whose sum is σ = 2968142400000. Its totient is φ = 307788816384.

The previous prime is 981493567009. The next prime is 981493567063. The reversal of 981493567040 is 40765394189.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60469646 + ... + 60485874.

Almost surely, 2981493567040 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 981493567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484071200000).

981493567040 is an abundant number, since it is smaller than the sum of its proper divisors (1986648832960).

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

981493567040 is a wasteful number, since it uses less digits than its factorization.

981493567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16315 (or 16291 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 981493567040 in words is "nine hundred eighty-one billion, four hundred ninety-three million, five hundred sixty-seven thousand, forty".