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5029879901040 = 24325231032129429
BaseRepresentation
bin100100100110001110000…
…1101000110101101110000
3122210211222222102100222200
41021030130031012231300
51124402143223313130
614410410034303200
71026253053505221
oct111143415065560
918724888370880
105029879901040
11166a184091455
126929a8727b00
132a64145c9397
14135639c8b248
158ac8aa25760
hex4931c346b70

5029879901040 has 240 divisors, whose sum is σ = 17628755526720. Its totient is φ = 1282815959040.

The previous prime is 5029879900967. The next prime is 5029879901143. The reversal of 5029879901040 is 401099789205.

5029879901040 is a `hidden beast` number, since 502 + 9 + 8 + 7 + 9 + 90 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 170901046 + ... + 170930474.

It is an arithmetic number, because the mean of its divisors is an integer number (73453148028).

Almost surely, 25029879901040 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 5029879901040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8814377763360).

5029879901040 is an abundant number, since it is smaller than the sum of its proper divisors (12598875625680).

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

5029879901040 is a wasteful number, since it uses less digits than its factorization.

5029879901040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39792 (or 39783 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 5029879901040 in words is "five trillion, twenty-nine billion, eight hundred seventy-nine million, nine hundred one thousand, forty".