Search a number
-
+
155015625555 = 355724915303
BaseRepresentation
bin1001000001011110100…
…1101011101101010011
3112211010022020200200000
42100113221223231103
510014433000004210
6155114014501043
714125301035200
oct2202751535523
9484108220600
10155015625555
115a81830893a
1226062504783
131180571c32b
14770795cca7
1540740c0ac0
hex2417a6bb53

155015625555 has 144 divisors (see below), whose sum is σ = 324859901184. Its totient is φ = 70706623680.

The previous prime is 155015625539. The next prime is 155015625577. The reversal of 155015625555 is 555526510551.

155015625555 is a `hidden beast` number, since 1 + 5 + 5 + 0 + 15 + 625 + 5 + 5 + 5 = 666.

It is not a de Polignac number, because 155015625555 - 24 = 155015625539 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 155015625555.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29229034 + ... + 29234336.

It is an arithmetic number, because the mean of its divisors is an integer number (2255971536).

Almost surely, 2155015625555 is an apocalyptic number.

155015625555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

155015625555 is an abundant number, since it is smaller than the sum of its proper divisors (169844275629).

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

155015625555 is an equidigital number, since it uses as much as digits as its factorization.

155015625555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 937500, while the sum is 45.

The spelling of 155015625555 in words is "one hundred fifty-five billion, fifteen million, six hundred twenty-five thousand, five hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 243 245 315 405 441 491 567 735 945 1215 1323 1473 1701 2205 2455 2835 3437 3969 4419 5303 6615 7365 8505 10311 11907 13257 15909 17185 19845 22095 24059 26515 30933 37121 39771 47727 51555 59535 66285 72177 79545 92799 111363 119313 120295 143181 154665 185605 198855 216531 238635 259847 278397 334089 360885 429543 463995 556815 596565 649593 715905 779541 835191 1002267 1082655 1288629 1299235 1391985 1670445 1948779 2147715 2338623 2603773 3006801 3247965 3897705 4175955 5011335 5846337 6443145 7015869 7811319 9020403 9743895 11693115 13018865 15034005 18226411 21047607 23433957 29231685 35079345 39056595 45102015 54679233 63142821 70301871 91132055 105238035 117169785 127584877 164037699 210905613 273396165 315714105 351509355 382754631 492113097 632716839 637924385 820188495 1054528065 1148263893 1476339291 1913773155 2460565485 3163584195 3444791679 4429017873 5741319465 7381696455 10334375037 17223958395 22145089365 31003125111 51671875185 155015625555