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980005155840 = 21032567331601
BaseRepresentation
bin11100100001011001101…
…10111111010000000000
310110200120020121002201100
432100230312333100000
5112024022304441330
62030112543334400
7130542304244514
oct16205466772000
93420506532640
10980005155840
113486883a85a7
12139b218b1400
137154c9a78c9
143560ab04144
151a75b1b8060
hexe42cdbf400

980005155840 has 264 divisors, whose sum is σ = 3400845564168. Its totient is φ = 260938137600.

The previous prime is 980005155823. The next prime is 980005155911. The reversal of 980005155840 is 48551500089.

It is a happy number.

980005155840 is a `hidden beast` number, since 9 + 8 + 0 + 0 + 0 + 51 + 558 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213133648896 + 766871506944 = 461664^2 + 875712^2 .

It is a super-2 number, since 2×9800051558402 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30996040 + ... + 31027640.

Almost surely, 2980005155840 is an apocalyptic number.

980005155840 is a gapful number since it is divisible by the number (90) 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 980005155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700422782084).

980005155840 is an abundant number, since it is smaller than the sum of its proper divisors (2420840408328).

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

980005155840 is a wasteful number, since it uses less digits than its factorization.

980005155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32305 (or 32284 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 980005155840 in words is "nine hundred eighty billion, five million, one hundred fifty-five thousand, eight hundred forty".