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45202121015357 = 173797212775981
BaseRepresentation
bin10100100011100011100000…
…10111011100000000111101
312221001021120112101120022102
422101301300113130000331
521411042420434442412
6240045322343354445
712343513461065135
oct1221616027340075
9187037515346272
1045202121015357
1113448125994a89
1250a0582a52a25
131c2b707216367
14b23b198ddac5
15535c26bcb8c2
hex291c705dc03d

45202121015357 has 48 divisors (see below), whose sum is σ = 49713788248848. Its totient is φ = 40927697141760.

The previous prime is 45202121015353. The next prime is 45202121015399. The reversal of 45202121015357 is 75351012120254.

It can be written as a sum of positive squares in 24 ways, for example, as 18390323099236 + 26811797916121 = 4288394^2 + 5178011^2 .

It is not a de Polignac number, because 45202121015357 - 22 = 45202121015353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45202121015357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45202121015353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7557616307 + ... + 7557622287.

It is an arithmetic number, because the mean of its divisors is an integer number (1035703921851).

Almost surely, 245202121015357 is an apocalyptic number.

It is an amenable number.

45202121015357 is a deficient number, since it is larger than the sum of its proper divisors (4511667233491).

45202121015357 is a wasteful number, since it uses less digits than its factorization.

45202121015357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7506 (or 7409 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The spelling of 45202121015357 in words is "forty-five trillion, two hundred two billion, one hundred twenty-one million, fifteen thousand, three hundred fifty-seven".

Divisors: 1 17 37 97 629 1277 1649 3589 5981 9409 21709 47249 61013 101677 123869 159953 221297 348133 580157 803233 2105773 3762049 4583153 5918261 7637737 9862669 12015293 21465809 56275229 77913601 129841529 204259981 282596269 364918753 444565841 740860489 956678893 2082183473 4804136573 7557619297 12594628313 27411838093 35397119041 71863467433 466001247581 1221678946361 2658948295021 45202121015357