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80497387294632 = 233471121761233607
BaseRepresentation
bin10010010011011001000010…
…001011001100111110101000
3101120000110211022210112220000
4102103121002023030332220
541022332122121412012
6443111553400303000
722645513204301130
oct2223310213147650
9346013738715800
1080497387294632
1123715828624400
129040b24171a60
1335bbb4290bc89
1415c4146bc9ac0
15948dc5ecbddc
hex4936422ccfa8

80497387294632 has 1920 divisors, whose sum is σ = 306620995000320. Its totient is φ = 19241083699200.

The previous prime is 80497387294631. The next prime is 80497387294669. The reversal of 80497387294632 is 23649278379408.

80497387294632 is a `hidden beast` number, since 8 + 0 + 4 + 97 + 3 + 8 + 72 + 9 + 463 + 2 = 666.

It is a super-2 number, since 2×804973872946322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (80497387294631) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 132615135273 + ... + 132615135879.

It is an arithmetic number, because the mean of its divisors is an integer number (159698434896).

Almost surely, 280497387294632 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 80497387294632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153310497500160).

80497387294632 is an abundant number, since it is smaller than the sum of its proper divisors (226123607705688).

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

80497387294632 is a wasteful number, since it uses less digits than its factorization.

80497387294632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 80497387294632 in words is "eighty trillion, four hundred ninety-seven billion, three hundred eighty-seven million, two hundred ninety-four thousand, six hundred thirty-two".