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997631759540 = 225134193586469
BaseRepresentation
bin11101000010001110111…
…11001001010010110100
310112101001200011100022102
432201013133021102310
5112321122212301130
62042150010521232
7132035150016623
oct16410737112264
93471050140272
10997631759540
11355103135879
12141420a36218
13730cb74ca20
14363ddad36ba
151ae3d8b5645
hexe8477c94b4

997631759540 has 48 divisors (see below), whose sum is σ = 2311211463120. Its totient is φ = 359372037120.

The previous prime is 997631759521. The next prime is 997631759543. The reversal of 997631759540 is 45957136799.

997631759540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 103752275236 + 893879484304 = 322106^2 + 945452^2 .

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997631759543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46782575 + ... + 46803894.

It is an arithmetic number, because the mean of its divisors is an integer number (48150238815).

Almost surely, 2997631759540 is an apocalyptic number.

It is an amenable number.

997631759540 is an abundant number, since it is smaller than the sum of its proper divisors (1313579703580).

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

997631759540 is a wasteful number, since it uses less digits than its factorization.

997631759540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93586532 (or 93586530 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 65.

The spelling of 997631759540 in words is "nine hundred ninety-seven billion, six hundred thirty-one million, seven hundred fifty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 93586469 187172938 374345876 467932345 935864690 1216624097 1871729380 2433248194 3837045229 4866496388 6083120485 7674090458 12166240970 15348180916 19185226145 24332481940 38370452290 49881587977 76740904580 99763175954 199526351908 249407939885 498815879770 997631759540