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114007617552 = 24312718702037
BaseRepresentation
bin110101000101101100…
…0100011000000010000
3101220021101110001010210
41222023120203000100
53331441422230202
6124212510524120
711144133521433
oct1521330430020
9356241401123
10114007617552
1144394367534
121a118b06640
13a99b88793a
14573755b81a
152e73d74c6c
hex1a8b623010

114007617552 has 40 divisors (see below), whose sum is σ = 296838747136. Its totient is φ = 37703304576.

The previous prime is 114007617539. The next prime is 114007617569. The reversal of 114007617552 is 255716700411.

It is a self number, because there is not a number n which added to its sum of digits gives 114007617552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9344923 + ... + 9357114.

Almost surely, 2114007617552 is an apocalyptic number.

114007617552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114007617552 is an abundant number, since it is smaller than the sum of its proper divisors (182831129584).

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

114007617552 is a wasteful number, since it uses less digits than its factorization.

114007617552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18702175 (or 18702169 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 114007617552 in words is "one hundred fourteen billion, seven million, six hundred seventeen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 508 762 1016 1524 2032 3048 6096 18702037 37404074 56106111 74808148 112212222 149616296 224424444 299232592 448848888 897697776 2375158699 4750317398 7125476097 9500634796 14250952194 19001269592 28501904388 38002539184 57003808776 114007617552