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23132450052153 = 34131741100931237
BaseRepresentation
bin1010100001001111100010…
…11101111101100000111001
310000220102220012212120110000
411100213301131331200321
511013000224203132103
6121110522325543213
74605156451112361
oct520476135754071
9100812805776400
1023132450052153
117409464aa1332
122717282874b09
13cba4c447a160
1459d88bb8b9a1
152a1adc59eaa3
hex1509f177d839

23132450052153 has 160 divisors (see below), whose sum is σ = 40405435852320. Its totient is φ = 13057827471360.

The previous prime is 23132450052133. The next prime is 23132450052163. The reversal of 23132450052153 is 35125005423132.

23132450052153 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 2 + 450 + 0 + 52 + 153 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7484120146944 + 15648329905209 = 2735712^2 + 3955797^2 .

It is a de Polignac number, because none of the positive numbers 2k-23132450052153 is a prime.

It is a super-2 number, since 2×231324500521532 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23132450052133) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 740530851 + ... + 740562087.

It is an arithmetic number, because the mean of its divisors is an integer number (252533974077).

Almost surely, 223132450052153 is an apocalyptic number.

It is an amenable number.

23132450052153 is a deficient number, since it is larger than the sum of its proper divisors (17272985800167).

23132450052153 is a wasteful number, since it uses less digits than its factorization.

23132450052153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32329 (or 32320 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 23132450052153 its reverse (35125005423132), we get a palindrome (58257455475285).

The spelling of 23132450052153 in words is "twenty-three trillion, one hundred thirty-two billion, four hundred fifty million, fifty-two thousand, one hundred fifty-three".

Divisors: 1 3 9 13 17 27 39 41 51 81 117 123 153 221 351 369 459 533 663 697 1009 1053 1107 1377 1599 1989 2091 3027 3321 4797 5967 6273 9061 9081 13117 14391 17153 17901 18819 27183 27243 31237 39351 41369 43173 51459 56457 81549 81729 93711 118053 124107 154377 222989 244647 281133 354159 372321 406081 463131 531029 537797 668967 703273 733941 843399 1062477 1116963 1218243 1280717 1389393 1593087 1613391 2006901 2109819 2530197 3350889 3654729 3842151 4779261 4840173 6020703 6329457 6903377 9142549 10964187 11526453 14337783 14520519 16649321 18062109 18988371 20710131 21772189 27427647 31518133 32892561 34579359 43013349 43561557 49947963 56965113 62130393 65316567 82282941 94554399 103738077 149843889 186391179 195949701 246848823 283038457 283663197 409735729 449531667 535808261 559173537 587849103 740546469 849115371 850989591 1229207187 1292243453 1348595001 1607424783 1763547309 2547346113 2552968773 3687621561 3876730359 4822274349 6965507393 7642038339 11062864683 11630191077 14466823047 16799164889 20896522179 21968138701 22926115017 33188594049 34890573231 43400469141 50397494667 62689566537 65904416103 104671719693 151192484001 188068699611 197713248309 285585803113 453577452003 564206098833 593139744927 856757409339 1360732356009 1779419234781 2570272228017 7710816684051 23132450052153