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11642137234 = 2713217319337
BaseRepresentation
bin10101101011110110…
…01110101010010010
31010001100201211220221
422311323032222102
5142320341342414
65203123223254
7561334351030
oct126573165222
933040654827
1011642137234
114a34757022
12230ab17b2a
131136c87800
147c62a5550
15482132224
hex2b5ecea92

11642137234 has 96 divisors (see below), whose sum is σ = 23623197696. Its totient is φ = 4194478080.

The previous prime is 11642137231. The next prime is 11642137253. The reversal of 11642137234 is 43273124611.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 11642137234.

It is not an unprimeable number, because it can be changed into a prime (11642137231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1242214 + ... + 1251550.

It is an arithmetic number, because the mean of its divisors is an integer number (246074976).

Almost surely, 211642137234 is an apocalyptic number.

11642137234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11642137234 is an abundant number, since it is smaller than the sum of its proper divisors (11981060462).

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

11642137234 is a wasteful number, since it uses less digits than its factorization.

11642137234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9420 (or 9407 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The spelling of 11642137234 in words is "eleven billion, six hundred forty-two million, one hundred thirty-seven thousand, two hundred thirty-four".

Divisors: 1 2 7 13 14 17 26 31 34 62 91 119 169 182 217 221 238 338 403 434 442 527 806 1054 1183 1547 2366 2821 2873 3094 3689 5239 5642 5746 6851 7378 9337 10478 13702 18674 20111 36673 40222 47957 65359 73346 89063 95914 121381 130718 158729 178126 242762 289447 317458 578894 623441 849667 1111103 1246882 1577953 1699334 2026129 2063477 2222206 3155906 3762811 4052258 4126954 4920599 7525622 9841198 11045671 14444339 22091342 26339677 26825201 28888678 34444193 48916543 52679354 53650402 63967787 68888386 97833086 127935574 187776407 342415801 375552814 447774509 684831602 831581231 895549018 1663162462 5821068617 11642137234