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114966717948 = 223219937179381
BaseRepresentation
bin110101100010010001…
…1001110010111111100
3101222202020011101112200
41223010203032113330
53340422434433243
6124452011431500
711206660656465
oct1530443162774
9358666141480
10114966717948
1144836795895
121a346155590
13aac24a4974
1457c8a9dd6c
152ecd177ad3
hex1ac48ce5fc

114966717948 has 72 divisors (see below), whose sum is σ = 306233775120. Its totient is φ = 36266330880.

The previous prime is 114966717923. The next prime is 114966717949. The reversal of 114966717948 is 849717669411.

114966717948 is a `hidden beast` number, since 1 + 1 + 496 + 6 + 71 + 79 + 4 + 8 = 666.

114966717948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114966717949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551218 + ... + 730598.

Almost surely, 2114966717948 is an apocalyptic number.

114966717948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114966717948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153116887560).

114966717948 is an abundant number, since it is smaller than the sum of its proper divisors (191267057172).

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

114966717948 is a wasteful number, since it uses less digits than its factorization.

114966717948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180347 (or 180342 counting only the distinct ones).

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

The spelling of 114966717948 in words is "one hundred fourteen billion, nine hundred sixty-six million, seven hundred seventeen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 937 1874 2811 3748 5622 8433 11244 16866 17803 33732 35606 53409 71212 106818 160227 179381 213636 320454 358762 538143 640908 717524 1076286 1614429 2152572 3228858 3408239 6457716 6816478 10224717 13632956 20449434 30674151 40898868 61348302 122696604 168079997 336159994 504239991 672319988 1008479982 1512719973 2016959964 3025439946 3193519943 6050879892 6387039886 9580559829 12774079772 19161119658 28741679487 38322239316 57483358974 114966717948