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12490746345 = 3457111723561
BaseRepresentation
bin10111010001000000…
…11010100111101001
31012020111112122210000
423220200122213221
5201040112340340
65423240013213
7621350410050
oct135040324751
935214478700
1012490746345
11532a778670
122507161209
131240a2998c
14866c85397
154d18abd30
hex2e881a9e9

12490746345 has 160 divisors (see below), whose sum is σ = 29559188736. Its totient is φ = 4885401600.

The previous prime is 12490746341. The next prime is 12490746353. The reversal of 12490746345 is 54364709421.

12490746345 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 0 + 7 + 4 + 634 + 5 = 666.

It is not a de Polignac number, because 12490746345 - 22 = 12490746341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12490746345.

It is not an unprimeable number, because it can be changed into a prime (12490746341) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 518365 + ... + 541925.

Almost surely, 212490746345 is an apocalyptic number.

12490746345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12490746345 is an abundant number, since it is smaller than the sum of its proper divisors (17068442391).

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

12490746345 is a wasteful number, since it uses less digits than its factorization.

12490746345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23613 (or 23604 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

12490746345 divided by its sum of digits (45) gives a triangular number (277572141 = T23561).

The spelling of 12490746345 in words is "twelve billion, four hundred ninety million, seven hundred forty-six thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 11 15 17 21 27 33 35 45 51 55 63 77 81 85 99 105 119 135 153 165 187 189 231 255 297 315 357 385 405 459 495 561 567 595 693 765 891 935 945 1071 1155 1309 1377 1485 1683 1785 2079 2295 2805 2835 3213 3465 3927 4455 5049 5355 6237 6545 6885 8415 9639 10395 11781 15147 16065 19635 23561 25245 31185 35343 48195 58905 70683 75735 106029 117805 164927 176715 212049 259171 353415 400537 494781 530145 636147 777513 824635 1060245 1201611 1295855 1484343 1814197 1908441 2002685 2332539 2473905 2803759 3180735 3604833 3887565 4405907 4453029 5442591 6008055 6997617 7421715 8411277 9070985 9542205 10814499 11662695 13217721 13359087 14018795 16327773 18024165 20992851 22029535 22265145 25233831 27212955 30841349 32443497 34988085 39653163 42056385 48983319 54072495 66088605 66795435 75701493 81638865 92524047 104964255 118959489 126169155 146949957 154206745 162217485 198265815 227104479 244916595 277572141 356878467 378507465 462620235 594797445 734749785 832716423 1135522395 1387860705 1784392335 2498149269 4163582115 12490746345