Search a number
-
+
147854989246545 = 33576411571155371
BaseRepresentation
bin100001100111100100101100…
…000111001100000001010001
3201101111210120102022102012000
4201213210230013030001101
5123334424004221342140
61242243351103224213
743100112316163340
oct4147445407140121
9641453512272160
10147854989246545
1143124a48949089
12146bb3548a8069
1364668865ba4a9
142872310a7bb57
1512160aa8a2a30
hex86792c1cc051

147854989246545 has 128 divisors (see below), whose sum is σ = 301065890549760. Its totient is φ = 67442015232000.

The previous prime is 147854989246541. The next prime is 147854989246583. The reversal of 147854989246545 is 545642989458741.

147854989246545 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 5 + 49 + 8 + 9 + 24 + 6 + 545 = 666.

It is not a de Polignac number, because 147854989246545 - 22 = 147854989246541 is a prime.

It is a super-2 number, since 2×1478549892465452 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147854989246541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 951547710 + ... + 951703080.

It is an arithmetic number, because the mean of its divisors is an integer number (2352077269920).

Almost surely, 2147854989246545 is an apocalyptic number.

147854989246545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

147854989246545 is an abundant number, since it is smaller than the sum of its proper divisors (153210901303215).

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

147854989246545 is a wasteful number, since it uses less digits than its factorization.

147854989246545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157604 (or 157598 counting only the distinct ones).

The product of its digits is 13934592000, while the sum is 81.

The spelling of 147854989246545 in words is "one hundred forty-seven trillion, eight hundred fifty-four billion, nine hundred eighty-nine million, two hundred forty-six thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 641 945 1571 1923 3205 4487 4713 5769 7855 9615 10997 13461 14139 17307 22435 23565 28845 32991 40383 42417 54985 67305 70695 86535 98973 121149 155371 164955 201915 212085 296919 466113 494865 605745 776855 1007011 1087597 1398339 1484595 2330565 3021033 3262791 4195017 5035055 5437985 6991695 7049077 9063099 9788373 15105165 16313955 20975085 21147231 27189297 29365119 35245385 45315495 48941865 63441693 99592811 105736155 135946485 146825595 190325079 244087841 298778433 317208465 497964055 697149677 732263523 896335299 951625395 1220439205 1493892165 1708614887 2091449031 2196790569 2689005897 3485748385 3661317615 4481676495 5125844661 6274347093 6590371707 8543074435 10457245155 10983952845 13445029485 15377533983 18823041279 25629223305 31371735465 32951858535 46132601949 76887669915 94115206395 156460306081 230663009745 469380918243 782301530405 1095222142567 1408142754729 2346904591215 3285666427701 4224428264187 5476110712835 7040713773645 9856999283103 16428332138505 21122141320935 29570997849309 49284996415515 147854989246545