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997260290664 = 2331121013400091
BaseRepresentation
bin11101000001100010101…
…10000110101001101000
310112100002210011202210220
432200301112012221220
5112314342113300124
62042045101010040
7132023016415161
oct16406126065150
93470083152726
10997260290664
11354a32487800
12141338553920
137306c7ba961
14363a6638768
151ae1ae8a879
hexe831586a68

997260290664 has 96 divisors (see below), whose sum is σ = 2767538884320. Its totient is φ = 299207920000.

The previous prime is 997260290641. The next prime is 997260290683. The reversal of 997260290664 is 466092062799.

It is a junction number, because it is equal to n+sod(n) for n = 997260290598 and 997260290607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1406742 + ... + 1993349.

It is an arithmetic number, because the mean of its divisors is an integer number (28828530045).

Almost surely, 2997260290664 is an apocalyptic number.

It is an amenable number.

997260290664 is an abundant number, since it is smaller than the sum of its proper divisors (1770278593656).

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

997260290664 is a wasteful number, since it uses less digits than its factorization.

997260290664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400223 (or 3400208 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 997260290664 in words is "nine hundred ninety-seven billion, two hundred sixty million, two hundred ninety thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 121 132 202 242 264 303 363 404 484 606 726 808 968 1111 1212 1452 2222 2424 2904 3333 4444 6666 8888 12221 13332 24442 26664 36663 48884 73326 97768 146652 293304 3400091 6800182 10200273 13600364 20400546 27200728 37401001 40801092 74802002 81602184 112203003 149604004 224406006 299208008 343409191 411411011 448812012 686818382 822822022 897624024 1030227573 1234233033 1373636764 1645644044 2060455146 2468466066 2747273528 3291288088 3777501101 4120910292 4936932132 7555002202 8241820584 9873864264 11332503303 15110004404 22665006606 30220008808 41552512111 45330013212 83105024222 90660026424 124657536333 166210048444 249315072666 332420096888 498630145332 997260290664