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193160214240 = 2535757488159
BaseRepresentation
bin1011001111100100111…
…1101111011011100000
3200110120200000120022220
42303321033233123200
511131043003323430
6224423033431040
716645455505440
oct2637117573340
9613520016286
10193160214240
1174a119a59a4
1231528b6b480
13152a4280376
1494c594c120
155057c56110
hex2cf93ef6e0

193160214240 has 96 divisors (see below), whose sum is σ = 695376783360. Its totient is φ = 44150905344.

The previous prime is 193160214239. The next prime is 193160214277. The reversal of 193160214240 is 42412061391.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28740720 + ... + 28747439.

It is an arithmetic number, because the mean of its divisors is an integer number (7243508160).

Almost surely, 2193160214240 is an apocalyptic number.

193160214240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193160214240 is an abundant number, since it is smaller than the sum of its proper divisors (502216569120).

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

193160214240 is a wasteful number, since it uses less digits than its factorization.

193160214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57488184 (or 57488176 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 193160214240 in words is "one hundred ninety-three billion, one hundred sixty million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 57488159 114976318 172464477 229952636 287440795 344928954 402417113 459905272 574881590 689857908 804834226 862322385 919810544 1149763180 1207251339 1379715816 1609668452 1724644770 1839621088 2012085565 2299526360 2414502678 2759431632 3219336904 3449289540 4024171130 4599052720 4829005356 5518863264 6036256695 6438673808 6898579080 8048342260 9198105440 9658010712 12072513390 12877347616 13797158160 16096684520 19316021424 24145026780 27594316320 32193369040 38632042848 48290053560 64386738080 96580107120 193160214240