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997378077784 = 231189299942463
BaseRepresentation
bin11101000001110000101…
…11011011010001011000
310112100101222210222100211
432200320113123101120
5112320112241442114
62042104505340504
7132025646531644
oct16407027332130
93470358728324
10997378077784
11354a92a17a30
1214136ba97734
137308b01b58a
14363b8139c24
151ae264a56c4
hexe8385db458

997378077784 has 64 divisors (see below), whose sum is σ = 2063750400000. Its totient is φ = 448099787520.

The previous prime is 997378077769. The next prime is 997378077863. The reversal of 997378077784 is 487770873799.

It is a self number, because there is not a number n which added to its sum of digits gives 997378077784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23466937 + ... + 23509399.

It is an arithmetic number, because the mean of its divisors is an integer number (32246100000).

Almost surely, 2997378077784 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 997378077784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031875200000).

997378077784 is an abundant number, since it is smaller than the sum of its proper divisors (1066372322216).

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

997378077784 is a wasteful number, since it uses less digits than its factorization.

997378077784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45568 (or 45564 counting only the distinct ones).

The product of its (nonzero) digits is 1045529856, while the sum is 76.

The spelling of 997378077784 in words is "nine hundred ninety-seven billion, three hundred seventy-eight million, seventy-seven thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 89 178 356 712 979 1958 2999 3916 5998 7832 11996 23992 32989 42463 65978 84926 131956 169852 263912 266911 339704 467093 533822 934186 1067644 1868372 2135288 2936021 3736744 3779207 5872042 7558414 11744084 15116828 23488168 30233656 41571277 83142554 127346537 166285108 254693074 332570216 509386148 1018772296 1400811907 2801623814 5603247628 11206495256 11333841793 22667683586 45335367172 90670734344 124672259723 249344519446 498689038892 997378077784