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116609664240 = 24325612655047
BaseRepresentation
bin110110010011001111…
…0100100010011110000
3102010222201122201011100
41230212132210103300
53402304033223430
6125323021444400
711265460535406
oct1544636442360
9363881581140
10116609664240
11454aa12a743
121a724410700
13acc4996334
145902d73476
15307750b960
hex1b267a44f0

116609664240 has 120 divisors (see below), whose sum is σ = 398034175968. Its totient is φ = 30586129920.

The previous prime is 116609664229. The next prime is 116609664247. The reversal of 116609664240 is 42466906611.

It is a happy number.

116609664240 is a `hidden beast` number, since 1 + 16 + 609 + 6 + 6 + 4 + 24 + 0 = 666.

116609664240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116609664247) 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, 1283604 + ... + 1371443.

Almost surely, 2116609664240 is an apocalyptic number.

116609664240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116609664240 is an abundant number, since it is smaller than the sum of its proper divisors (281424511728).

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

116609664240 is a wasteful number, since it uses less digits than its factorization.

116609664240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655127 (or 2655118 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 116609664240 in words is "one hundred sixteen billion, six hundred nine million, six hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5490 7320 8784 10980 14640 21960 43920 2655047 5310094 7965141 10620188 13275235 15930282 21240376 23895423 26550470 31860564 39825705 42480752 47790846 53100940 63721128 79651410 95581692 106201880 119477115 127442256 159302820 161957867 191163384 212403760 238954230 318605640 323915734 382326768 477908460 485873601 637211280 647831468 809789335 955816920 971747202 1295662936 1457620803 1619578670 1911633840 1943494404 2429368005 2591325872 2915241606 3239157340 3886988808 4858736010 5830483212 6478314680 7288104015 7773977616 9717472020 11660966424 12956629360 14576208030 19434944040 23321932848 29152416060 38869888080 58304832120 116609664240