Search a number
-
+
23213546152173 = 3613131151123829
BaseRepresentation
bin1010100011100110100110…
…01011000010000011101101
310001012012012221111022000000
411101303103023002003231
511020312320303332143
6121212053400454513
74614060212435016
oct521632313020355
9101165187438000
1023213546152173
11743a89a6995a3
12272ab3577a439
13cc50496c8760
145a378232c00d
152a3c86dd3bd3
hex151cd32c20ed

23213546152173 has 112 divisors (see below), whose sum is σ = 38018203386240. Its totient is φ = 14082215472000.

The previous prime is 23213546152171. The next prime is 23213546152193. The reversal of 23213546152173 is 37125164531232.

It is a happy number.

23213546152173 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 3 + 5 + 4 + 615 + 21 + 7 + 3 = 666.

It is not a de Polignac number, because 23213546152173 - 21 = 23213546152171 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213546152171) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 187402623 + ... + 187526451.

It is an arithmetic number, because the mean of its divisors is an integer number (339448244520).

Almost surely, 223213546152173 is an apocalyptic number.

It is an amenable number.

23213546152173 is a deficient number, since it is larger than the sum of its proper divisors (14804657234067).

23213546152173 is a wasteful number, since it uses less digits than its factorization.

23213546152173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124142 (or 124127 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 23213546152173 in words is "twenty-three trillion, two hundred thirteen billion, five hundred forty-six million, one hundred fifty-two thousand, one hundred seventy-three".

Divisors: 1 3 9 13 27 39 81 117 131 151 243 351 393 453 729 1053 1179 1359 1703 1963 3159 3537 4077 5109 5889 9477 10611 12231 15327 17667 19781 31833 36693 45981 53001 59343 95499 110079 123829 137943 159003 178029 257153 371487 413829 477009 534087 771459 1114461 1241487 1431027 1602261 1609777 2314377 3343383 4806783 4829331 6943131 10030149 14420349 14487993 16221599 18698179 20829393 30090447 43463979 48664797 56094537 62488179 90271341 130391937 145994391 168283611 187464537 210880787 243076327 391175811 437983173 504850833 632642361 729228981 1173527433 1313949519 1514552499 1897927083 2187686943 2449461449 3941848557 4543657497 5693781249 6563060829 7348384347 11825545671 13630972491 17081343747 19689182487 22045153041 31842998837 51244031241 59067547461 66135459123 95528996511 153732093723 177202642383 198406377369 286586989533 595219132107 859760968599 1785657396321 2579282905797 7737848717391 23213546152173