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154133189604 = 223417212832
BaseRepresentation
bin1000111110001100001…
…1011101001111100100
3112201211210210022010000
42033203003131033210
510011131044031404
6154450253101300
714064364331502
oct2174303351744
9481753708100
10154133189604
115a405192729
1225a56a87830
13116c4965394
147662695672
1540218b3339
hex23e30dd3e4

154133189604 has 135 divisors (see below), whose sum is σ = 428364753817. Its totient is φ = 48317821056.

The previous prime is 154133189543. The next prime is 154133189611. The reversal of 154133189604 is 406981331451.

The square root of 154133189604 is 392598.

It is a perfect power (a square), and thus also a powerful number.

154133189604 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 3 + 31 + 8 + 9 + 604 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119999888100 + 34133301504 = 346410^2 + 184752^2 .

It is a super-2 number, since 2×1541331896042 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 154133189604.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 120134347 + ... + 120135629.

Almost surely, 2154133189604 is an apocalyptic number.

154133189604 is the 392598-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154133189604

154133189604 is an abundant number, since it is smaller than the sum of its proper divisors (274231564213).

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

154133189604 is an equidigital number, since it uses as much as digits as its factorization.

154133189604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 154133189604 in words is "one hundred fifty-four billion, one hundred thirty-three million, one hundred eighty-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1283 1377 1734 1836 2566 2601 2754 3468 3849 5132 5202 5508 7698 7803 10404 11547 15396 15606 21811 23094 23409 31212 34641 43622 46188 46818 65433 69282 87244 93636 103923 130866 138564 196299 207846 261732 370787 392598 415692 588897 741574 785196 1112361 1177794 1483148 1646089 1766691 2224722 2355588 3292178 3337083 3533382 4449444 4938267 6584356 6674166 7066764 9876534 10011249 13348332 14814801 19753068 20022498 27983513 29629602 30033747 40044996 44444403 55967026 59259204 60067494 83950539 88888806 111934052 120134988 133333209 167901078 177777612 251851617 266666418 335802156 475719721 503703234 533332836 755554851 951439442 1007406468 1427159163 1511109702 1902878884 2266664553 2854318326 3022219404 4281477489 4533329106 5708636652 8562954978 9066658212 12844432467 17125909956 25688864934 38533297401 51377729868 77066594802 154133189604