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45973647869769 = 321032219432
BaseRepresentation
bin10100111010000000100101…
…11100110100011101001001
320000210001000120021122102100
422131000102330310131021
522011213012323313034
6241440000253424013
712453325565123664
oct1235002274643511
9200701016248370
1045973647869769
1113715350767aa4
1251a600179b009
131c863b1233199
14b4d1ca5106db
1554ad30446099
hex29d012f34749

45973647869769 has 27 divisors (see below), whose sum is σ = 67060417951917. Its totient is φ = 30350151317016.

The previous prime is 45973647869729. The next prime is 45973647869813. The reversal of 45973647869769 is 96796874637954.

The square root of 45973647869769 is 6780387.

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

45973647869769 is a `hidden beast` number, since 4 + 5 + 9 + 7 + 3 + 6 + 478 + 69 + 76 + 9 = 666.

It is not a de Polignac number, because 45973647869769 - 231 = 45971500386121 is a prime.

It is a super-2 number, since 2×459736478697692 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45973647869729) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2095128612 + ... + 2095150554.

Almost surely, 245973647869769 is an apocalyptic number.

45973647869769 is the 6780387-th square number.

45973647869769 is the 3390194-th centered octagonal number.

It is an amenable number.

45973647869769 is a deficient number, since it is larger than the sum of its proper divisors (21086770082148).

45973647869769 is an frugal number, since it uses more digits than its factorization.

45973647869769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44098 (or 22049 counting only the distinct ones).

The product of its digits is 103699491840, while the sum is 90.

The spelling of 45973647869769 in words is "forty-five trillion, nine hundred seventy-three billion, six hundred forty-seven million, eight hundred sixty-nine thousand, seven hundred sixty-nine".

Divisors: 1 3 9 103 309 927 10609 21943 31827 65829 95481 197487 2260129 6780387 20341161 232793287 481495249 698379861 1444485747 2095139583 4333457241 49594010647 148782031941 446346095823 5108183096641 15324549289923 45973647869769