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45498413304813 = 3737127112231879
BaseRepresentation
bin10100101100001011011001…
…10000110100101111101101
312222002121100122121101100210
422112011230300310233231
521430421222301223223
6240433403231413033
712404103045021000
oct1226055460645755
9188077318541323
1045498413304813
1113551850195497
125129a92684179
131c50635b518b1
14b341c6455537
1553d7b8aee893
hex29616cc34bed

45498413304813 has 128 divisors (see below), whose sum is σ = 72104214528000. Its totient is φ = 25503860491200.

The previous prime is 45498413304803. The next prime is 45498413304821. The reversal of 45498413304813 is 31840331489454.

It is not a de Polignac number, because 45498413304813 - 28 = 45498413304557 is a prime.

It is a super-2 number, since 2×454984133048132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45498413304803) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24214162608 + ... + 24214164486.

It is an arithmetic number, because the mean of its divisors is an integer number (563314176000).

Almost surely, 245498413304813 is an apocalyptic number.

It is an amenable number.

45498413304813 is a deficient number, since it is larger than the sum of its proper divisors (26605801223187).

45498413304813 is a wasteful number, since it uses less digits than its factorization.

45498413304813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 45498413304813 in words is "forty-five trillion, four hundred ninety-eight billion, four hundred thirteen million, three hundred four thousand, eight hundred thirteen".

Divisors: 1 3 7 21 49 71 147 213 271 343 497 813 1029 1223 1491 1879 1897 3479 3669 5637 5691 8561 10437 13153 13279 19241 24353 25683 39459 39837 57723 59927 73059 86833 92071 92953 133409 134687 179781 260499 276213 278859 331433 400227 404061 419489 509209 607831 644497 933863 942809 994299 1258467 1527627 1823493 1933491 2298017 2320031 2801589 2828427 3564463 4254817 6537041 6599663 6894051 6960093 10693389 12764451 16086119 16240217 19611123 19798989 23531743 24951241 29783719 36153839 45759287 48258357 48720651 70595229 74853723 89351157 108461517 112602833 113681519 137277861 163159207 164722201 174658687 253076873 337808499 341044557 489477621 494166603 523976061 622762607 759230619 788219831 1142114449 1153055407 1771538111 1868287821 2364659493 3426343347 3459166221 4359338249 5314614333 7994801143 8071387849 12400766777 13078014747 23984403429 24214163547 30515367743 37202300331 44216145097 55963608001 91546103229 132648435291 167890824003 213607574201 309513015679 640822722603 928539047037 2166591109753 6499773329259 15166137768271 45498413304813