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45998738724169 = 74112125832
BaseRepresentation
bin10100111010101111010100…
…11110110101010101001001
320000212102210012011010001001
422131113222132311111021
522012120404103133134
6241455310121455001
712455204424640000
oct1235275236652511
9200772705133031
1045998738724169
1113724a56909300
1251aaa44641461
131c8887c52a4aa
14b504ca987c37
1554b7ed0b3414
hex29d5ea7b5549

45998738724169 has 45 divisors (see below), whose sum is σ = 58988541560109. Its totient is φ = 35840324492280.

The previous prime is 45998738724101. The next prime is 45998738724181. The reversal of 45998738724169 is 96142783789954.

The square root of 45998738724169 is 6782237.

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

It is not a de Polignac number, because 45998738724169 - 27 = 45998738724041 is a prime.

It is a super-2 number, since 2×459987387241692 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45998738724092 and 45998738724101.

It is not an unprimeable number, because it can be changed into a prime (45998738724569) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3655619452 + ... + 3655632034.

Almost surely, 245998738724169 is an apocalyptic number.

45998738724169 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45998738724169 is the 6782237-th square number.

45998738724169 is the 3391119-th centered octagonal number.

It is an amenable number.

45998738724169 is a deficient number, since it is larger than the sum of its proper divisors (12989802835940).

45998738724169 is an frugal number, since it uses more digits than its factorization.

45998738724169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25216 (or 12601 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 82.

The spelling of 45998738724169 in words is "forty-five trillion, nine hundred ninety-eight billion, seven hundred thirty-eight million, seven hundred twenty-four thousand, one hundred sixty-nine".

Divisors: 1 7 11 49 77 121 343 539 847 2401 3773 5929 12583 26411 41503 88081 138413 290521 616567 968891 1522543 4315969 6782237 10657801 30211783 47475659 74604607 158331889 332329613 522232249 1108323223 1741650779 3655625743 7758262561 12191555453 19158158569 54307837927 85340888171 134107109983 380154865489 597386217197 938749769881 4181703520379 6571248389167 45998738724169