Search a number
-
+
29303227245645 = 325487216572
BaseRepresentation
bin1101010100110101100000…
…11100110110010001001101
310211202100202021211102111200
412222122300130312101031
512320101002133330040
6142153414452540113
76113042200610133
oct652326034662115
9124670667742450
1029303227245645
119378479934921
1233531b3621639
131347389790222
147343d8923753
1535c39e202630
hex1aa6b073644d

29303227245645 has 54 divisors (see below), whose sum is σ = 50927505696522. Its totient is φ = 15586884349056.

The previous prime is 29303227245587. The next prime is 29303227245673. The reversal of 29303227245645 is 54654272230392.

29303227245645 is a `hidden beast` number, since 2 + 9 + 3 + 0 + 3 + 2 + 2 + 72 + 4 + 564 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 537907830084 + 28765319415561 = 733422^2 + 5363331^2 .

It is not a de Polignac number, because 29303227245645 - 28 = 29303227245389 is a prime.

It is a super-3 number, since 3×293032272456453 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 29303227245591 and 29303227245600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 17684505657 + ... + 17684507313.

It is an arithmetic number, because the mean of its divisors is an integer number (943101957343).

Almost surely, 229303227245645 is an apocalyptic number.

It is an amenable number.

29303227245645 is a deficient number, since it is larger than the sum of its proper divisors (21624278450877).

29303227245645 is an frugal number, since it uses more digits than its factorization.

29303227245645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 29303227245645 in words is "twenty-nine trillion, three hundred three billion, two hundred twenty-seven million, two hundred forty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 487 1461 1657 2435 4383 4971 7305 8285 14913 21915 24855 74565 237169 711507 806959 1185845 2134521 2420877 2745649 3557535 4034795 7262631 8236947 10672605 12104385 13728245 24710841 36313155 41184735 123554205 392989033 1178967099 1337131063 1964945165 3536901297 4011393189 5894835495 6685655315 12034179567 17684506485 20056965945 60170897835 651182827681 1953548483043 3255914138405 5860645449129 9767742415215 29303227245645