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997755114192 = 243671697182821
BaseRepresentation
bin11101000010011101101…
…01101101001011010000
310112101101021021102002020
432201032311231023100
5112321400302123232
62042210134451440
7132041205352314
oct16411665551320
93471337242066
10997755114192
11355166828a71
12141456203b80
137311b17c845
1436412243b44
151ae4962ee2c
hexe84ed6d2d0

997755114192 has 80 divisors (see below), whose sum is σ = 2617560566592. Its totient is φ = 327426232320.

The previous prime is 997755114179. The next prime is 997755114193. The reversal of 997755114192 is 291411557799.

997755114192 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997755114193) 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, 5366142 + ... + 5548962.

Almost surely, 2997755114192 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 997755114192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308780283296).

997755114192 is an abundant number, since it is smaller than the sum of its proper divisors (1619805452400).

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

997755114192 is a wasteful number, since it uses less digits than its factorization.

997755114192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184596 (or 184590 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 60.

The spelling of 997755114192 in words is "nine hundred ninety-seven billion, seven hundred fifty-five million, one hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 1697 3216 3394 5091 6788 10182 13576 20364 27152 40728 81456 113699 182821 227398 341097 365642 454796 548463 682194 731284 909592 1096926 1364388 1462568 1819184 2193852 2728776 2925136 4387704 5457552 8775408 12249007 24498014 36747021 48996028 73494042 97992056 146988084 195984112 293976168 310247237 587952336 620494474 930741711 1240988948 1861483422 2481977896 3722966844 4963955792 7445933688 14891867376 20786564879 41573129758 62359694637 83146259516 124719389274 166292519032 249438778548 332585038064 498877557096 997755114192