Search a number
-
+
145547985962929 = 112792138832
BaseRepresentation
bin100001000110000000001000…
…000000000100011110110001
3201002100020210101121212102011
4201012000020000010132301
5123034124233401303204
61233315453252322521
742441331526626264
oct4106001000043661
9632306711555364
10145547985962929
1142415610714400
12143a8212013441
13632a168341b24
1427d27bad16cdb
1511c608549e304
hex8460080047b1

145547985962929 has 27 divisors (see below), whose sum is σ = 162044898160089. Its totient is φ = 130632050182920.

The previous prime is 145547985962927. The next prime is 145547985962957. The reversal of 145547985962929 is 929269589745541.

The square root of 145547985962929 is 12064327.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 145547985962929 - 21 = 145547985962927 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145547985962927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10483893222 + ... + 10483907104.

Almost surely, 2145547985962929 is an apocalyptic number.

145547985962929 is the 12064327-th square number.

145547985962929 is the 6032164-th centered octagonal number.

It is an amenable number.

145547985962929 is a deficient number, since it is larger than the sum of its proper divisors (16496912197160).

145547985962929 is an frugal number, since it uses more digits than its factorization.

145547985962929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27946 (or 13973 counting only the distinct ones).

The product of its digits is 17635968000, while the sum is 85.

The spelling of 145547985962929 in words is "one hundred forty-five trillion, five hundred forty-seven billion, nine hundred eighty-five million, nine hundred sixty-two thousand, nine hundred twenty-nine".

Divisors: 1 11 79 121 869 6241 9559 13883 68651 152713 755161 1096757 1679843 12064327 86643803 132707597 192737689 953081833 2120114579 10483900163 15226277431 23321260369 167489051741 1202875917049 1842379569151 13231635087539 145547985962929