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138553355511 = 3217193110714369
BaseRepresentation
bin1000000100001001101…
…1000110110011110111
3111020122000120201120200
42001002123012303313
54232224124334021
6143352303131543
713003324042614
oct2010233066367
9436560521520
10138553355511
115383a83678a
1222a292a3bb3
13100b0c6153c
1469c545750b
15390dc16126
hex20426c6cf7

138553355511 has 96 divisors (see below), whose sum is σ = 232421529600. Its totient is φ = 78952734720.

The previous prime is 138553355411. The next prime is 138553355519. The reversal of 138553355511 is 115553355831.

It is a happy number.

138553355511 is a `hidden beast` number, since 1 + 3 + 8 + 55 + 33 + 55 + 511 = 666.

It is not a de Polignac number, because 138553355511 - 213 = 138553347319 is a prime.

It is a super-2 number, since 2×1385533555112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138553355519) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9635335 + ... + 9649703.

It is an arithmetic number, because the mean of its divisors is an integer number (2421057600).

Almost surely, 2138553355511 is an apocalyptic number.

138553355511 is a deficient number, since it is larger than the sum of its proper divisors (93868174089).

138553355511 is a wasteful number, since it uses less digits than its factorization.

138553355511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14549 (or 14546 counting only the distinct ones).

The product of its digits is 675000, while the sum is 45.

The spelling of 138553355511 in words is "one hundred thirty-eight billion, five hundred fifty-three million, three hundred fifty-five thousand, five hundred eleven".

Divisors: 1 3 9 17 19 31 51 57 93 107 153 171 279 321 323 527 589 963 969 1581 1767 1819 2033 2907 3317 4743 5301 5457 6099 9951 10013 14369 16371 18297 29853 30039 34561 43107 56389 63023 90117 103683 129321 169167 189069 244273 273011 311049 445439 507501 567207 732819 819033 1071391 1336317 1537483 2198457 2457099 3214173 4008951 4612449 4641187 7572463 8463341 9642519 13837347 13923561 22717389 25390023 26137211 29212177 41770683 47661973 68152167 76170069 78411633 87636531 142985919 143876797 235234899 262909593 428957757 431630391 496607009 810253541 905577487 1294891173 1489821027 2430760623 2716732461 4469463081 7292281869 8150197383 15394817279 46184451837 138553355511