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5091497581632 = 2637111931584707
BaseRepresentation
bin100101000010111010011…
…1001111001110001000000
3200000202001012221212022220
41022011310321321301000
51131404341340103012
614455000211131040
71033564025241660
oct112056471716100
920022035855286
105091497581632
111693323716920
126a29242a3a80
132ac18423cb07
141386035181a0
158c6952bb08c
hex4a174e79c40

5091497581632 has 448 divisors, whose sum is σ = 18249625436160. Its totient is φ = 1212446361600.

The previous prime is 5091497581627. The next prime is 5091497581637. The reversal of 5091497581632 is 2361857941905.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5091497581627) and next prime (5091497581637).

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

It is not an unprimeable number, because it can be changed into a prime (5091497581637) 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 63 ways as a sum of consecutive naturals, for example, 8415423 + ... + 9000129.

It is a 1-persistent number, because it is pandigital, but 2⋅5091497581632 = 10182995163264 is not.

Almost surely, 25091497581632 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 5091497581632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9124812718080).

5091497581632 is an abundant number, since it is smaller than the sum of its proper divisors (13158127854528).

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

5091497581632 is a wasteful number, since it uses less digits than its factorization.

5091497581632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584790 (or 584780 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 5091497581632 in words is "five trillion, ninety-one billion, four hundred ninety-seven million, five hundred eighty-one thousand, six hundred thirty-two".