Search a number
-
+
152461055543424 = 273613647690047
BaseRepresentation
bin100010101010100110011011…
…000011101100100010000000
3201222211010122002122222111120
4202222212123003230202000
5124440410220204342144
61300131350401312240
744053643040544305
oct4252463303544200
9658733562588446
10152461055543424
1144640409225941
1215123b83035680
13670c028a822b4
142991223bab0ac
151295cde05be19
hex8aa99b0ec880

152461055543424 has 64 divisors (see below), whose sum is σ = 405635323261440. Its totient is φ = 50737447443456.

The previous prime is 152461055543399. The next prime is 152461055543429. The reversal of 152461055543424 is 424345550164251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1524610555434243 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (152461055543429) 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 7 ways as a sum of consecutive naturals, for example, 323609632 + ... + 324080415.

It is an arithmetic number, because the mean of its divisors is an integer number (6338051925960).

Almost surely, 2152461055543424 is an apocalyptic number.

It is an amenable number.

152461055543424 is an abundant number, since it is smaller than the sum of its proper divisors (253174267718016).

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

152461055543424 is an equidigital number, since it uses as much as digits as its factorization.

152461055543424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647690677 (or 647690665 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 51.

The spelling of 152461055543424 in words is "one hundred fifty-two trillion, four hundred sixty-one billion, fifty-five million, five hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 613 1226 1839 2452 3678 4904 7356 9808 14712 19616 29424 39232 58848 78464 117696 235392 647690047 1295380094 1943070141 2590760188 3886140282 5181520376 7772280564 10363040752 15544561128 20726081504 31089122256 41452163008 62178244512 82904326016 124356489024 248712978048 397033998811 794067997622 1191101996433 1588135995244 2382203992866 3176271990488 4764407985732 6352543980976 9528815971464 12705087961952 19057631942928 25410175923904 38115263885856 50820351847808 76230527771712 152461055543424