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997790848002 = 2321322691219349
BaseRepresentation
bin11101000010100001111…
…10000001010000000010
310112101110202111212122200
432201100332001100002
5112321433424114002
62042213452414030
7132042121161444
oct16412076012002
93471422455580
10997790848002
11355184a15343
12141466177316
13731256b1600
1436416ca6494
151ae4c83cb1c
hexe850f81402

997790848002 has 72 divisors (see below), whose sum is σ = 2349675256500. Its totient is φ = 305871007104.

The previous prime is 997790848001. The next prime is 997790848063. The reversal of 997790848002 is 200848097799.

It can be written as a sum of positive squares in 6 ways, for example, as 2443423761 + 995347424241 = 49431^2 + 997671^2 .

It is not an unprimeable number, because it can be changed into a prime (997790848001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208624 + ... + 1427972.

Almost surely, 2997790848002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997790848002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174837628250).

997790848002 is an abundant number, since it is smaller than the sum of its proper divisors (1351884408498).

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

997790848002 is a wasteful number, since it uses less digits than its factorization.

997790848002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219652 (or 1219636 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 997790848002 in words is "nine hundred ninety-seven billion, seven hundred ninety million, eight hundred forty-eight thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 269 338 507 538 807 1014 1521 1614 2421 3042 3497 4842 6994 10491 20982 31473 45461 62946 90922 136383 272766 409149 818298 1219349 2438698 3658047 7316094 10974141 15851537 21948282 31703074 47554611 95109222 142663833 206069981 285327666 328004881 412139962 618209943 656009762 984014643 1236419886 1854629829 1968029286 2952043929 3709259658 4264063453 5904087858 8528126906 12792190359 25584380718 38376571077 55432824889 76753142154 110865649778 166298474667 332596949334 498895424001 997790848002