Search a number
-
+
30057058845 = 325112172911197
BaseRepresentation
bin11011111111100010…
…100101001000011101
32212120201122210101200
4123333202211020131
5443024101340340
621450311030113
72112561533112
oct337742451035
985521583350
1030057058845
1111824476200
1259aa06b339
132ab0152428
141651c5c909
15badb4a330
hex6ff8a521d

30057058845 has 144 divisors (see below), whose sum is σ = 62730748080. Its totient is φ = 13241733120.

The previous prime is 30057058751. The next prime is 30057058849. The reversal of 30057058845 is 54885075003.

30057058845 is a `hidden beast` number, since 30 + 0 + 570 + 5 + 8 + 8 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 87216921 + 29969841924 = 9339^2 + 173118^2 .

It is not a de Polignac number, because 30057058845 - 212 = 30057054749 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 30057058845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30057058849) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2678787 + ... + 2689983.

It is an arithmetic number, because the mean of its divisors is an integer number (435630195).

Almost surely, 230057058845 is an apocalyptic number.

It is an amenable number.

30057058845 is an abundant number, since it is smaller than the sum of its proper divisors (32673689235).

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

30057058845 is a wasteful number, since it uses less digits than its factorization.

30057058845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11276 (or 11262 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 30057058845 in words is "thirty billion, fifty-seven million, fifty-eight thousand, eight hundred forty-five".

Divisors: 1 3 5 9 11 15 17 29 33 45 51 55 85 87 99 121 145 153 165 187 255 261 319 363 435 493 495 561 605 765 935 957 1089 1305 1479 1595 1683 1815 2057 2465 2805 2871 3509 4437 4785 5423 5445 6171 7395 8415 10285 10527 11197 14355 16269 17545 18513 22185 27115 30855 31581 33591 48807 52635 55985 59653 81345 92565 100773 123167 157905 167955 178959 190349 244035 298265 324713 369501 503865 536877 571047 615835 894795 951745 974139 1108503 1354837 1623565 1713141 1847505 2093839 2684385 2855235 2922417 3571843 4064511 4870695 5520121 5542515 6281517 6774185 8565705 10469195 10715529 12193533 14612085 16560363 17859215 18844551 20322555 23032229 27600605 31407585 32146587 39290273 49681089 53577645 60721331 60967665 69096687 82801815 94222755 115161145 117870819 160732935 182163993 196451365 207290061 248405445 303606655 345483435 353612457 546491979 589354095 667934641 910819965 1036450305 1768062285 2003803923 2732459895 3339673205 6011411769 10019019615 30057058845