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997742067504 = 2437132311274463
BaseRepresentation
bin11101000010011100000…
…11111011111100110000
310112101100100201120101120
432201032003323330300
5112321333432130004
62042204551102240
7132040656433320
oct16411603737460
93471310646346
10997742067504
1135515a427886
12141451971980
1373118562300
1436410609280
151ae484043d9
hexe84e0fbf30

997742067504 has 480 divisors, whose sum is σ = 3319302979584. Its totient is φ = 252590607360.

The previous prime is 997742067499. The next prime is 997742067521. The reversal of 997742067504 is 405760247799.

It is a super-3 number, since 3×9977420675043 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223556377 + ... + 223560839.

Almost surely, 2997742067504 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 997742067504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659651489792).

997742067504 is an abundant number, since it is smaller than the sum of its proper divisors (2321560912080).

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

997742067504 is a wasteful number, since it uses less digits than its factorization.

997742067504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 997742067504 in words is "nine hundred ninety-seven billion, seven hundred forty-two million, sixty-seven thousand, five hundred four".