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45061525140336 = 2433232197181637
BaseRepresentation
bin10100011111011101101000…
…01100101111001101110000
312220112211200011110002201000
422033232310030233031300
521401242000413442321
6235500551234042000
712330405412626645
oct1217566414571560
9186484604402630
1045061525140336
11133a3538210151
125079285719300
131c1b38c0711c3
14b1adbd0bddcc
15532248a04826
hex28fbb432f370

45061525140336 has 120 divisors (see below), whose sum is σ = 135211392809360. Its totient is φ = 14367442725504.

The previous prime is 45061525140323. The next prime is 45061525140337. The reversal of 45061525140336 is 63304152516054.

It is a happy number.

45061525140336 is a `hidden beast` number, since 4 + 5 + 0 + 61 + 5 + 251 + 4 + 0 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45061525140291 and 45061525140300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45061525140337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98362291 + ... + 98819346.

Almost surely, 245061525140336 is an apocalyptic number.

45061525140336 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

45061525140336 is an abundant number, since it is smaller than the sum of its proper divisors (90149867669024).

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

45061525140336 is a wasteful number, since it uses less digits than its factorization.

45061525140336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197181700 (or 197181665 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 45061525140336 in words is "forty-five trillion, sixty-one billion, five hundred twenty-five million, one hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 529 552 621 828 1058 1104 1242 1587 1656 2116 2484 3174 3312 4232 4761 4968 6348 8464 9522 9936 12696 14283 19044 25392 28566 38088 57132 76176 114264 228528 197181637 394363274 591544911 788726548 1183089822 1577453096 1774634733 2366179644 3154906192 3549269466 4535177651 4732359288 5323904199 7098538932 9070355302 9464718576 10647808398 13605532953 14197077864 18140710604 21295616796 27211065906 28394155728 36281421208 40816598859 42591233592 54422131812 72562842416 81633197718 85182467184 104309085973 108844263624 122449796577 163266395436 208618171946 217688527248 244899593154 312927257919 326532790872 417236343892 489799186308 625854515838 653065581744 834472687784 938781773757 979598372616 1251709031676 1668945375568 1877563547514 1959196745232 2503418063352 2816345321271 3755127095028 5006836126704 5632690642542 7510254190056 11265381285084 15020508380112 22530762570168 45061525140336