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145697644729 = 72132192773343
BaseRepresentation
bin1000011110110001000…
…0011010000010111001
3111221001220211012222001
42013230100122002321
54341342044112404
6150533234101001
713345344355300
oct2075420320271
9457056735861
10145697644729
1156876581a3a
12242a1a1a761
131097c116c00
1470a2213437
153bcb0327a4
hex21ec41a0b9

145697644729 has 72 divisors (see below), whose sum is σ = 193939827840. Its totient is φ = 108783222912.

The previous prime is 145697644711. The next prime is 145697644769. The reversal of 145697644729 is 927446796541.

It is a Cunningham number, because it is equal to 52623+1.

It is not a de Polignac number, because 145697644729 - 213 = 145697636537 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 145697644729 = 13 + 52623 = 37533 + 45283.

It is not an unprimeable number, because it can be changed into a prime (145697644769) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43581232 + ... + 43584574.

It is an arithmetic number, because the mean of its divisors is an integer number (2693608720).

Almost surely, 2145697644729 is an apocalyptic number.

145697644729 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

145697644729 is a deficient number, since it is larger than the sum of its proper divisors (48242183111).

145697644729 is a wasteful number, since it uses less digits than its factorization.

145697644729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3679 (or 3659 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 64.

The spelling of 145697644729 in words is "one hundred forty-five billion, six hundred ninety-seven million, six hundred forty-four thousand, seven hundred twenty-nine".

Divisors: 1 7 13 19 49 91 133 169 247 277 637 931 1183 1729 1939 3211 3343 3601 5263 8281 12103 13573 22477 23401 25207 36841 43459 46813 63517 68419 157339 163807 176449 257887 304213 327691 444619 478933 564967 825721 889447 926011 2129491 2293837 3112333 3352531 3954769 5780047 6226129 6482077 10734373 12038143 17594209 27683383 40460329 43582903 45374539 75140611 84267001 123159463 156495859 228724717 525984277 589869007 862116241 1095471013 1601073019 2973421321 7668297091 11207511133 20813949247 145697644729