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45503364420 = 223253738317839
BaseRepresentation
bin101010011000001101…
…100011110101000100
311100110012121102020100
4222120031203311010
51221142330130140
632523131004100
73200421134013
oct523015436504
9140405542210
1045503364420
11183305101a8
12899ab99630
1343a22a3707
1422b945ca7a
1512b4c1d530
hexa98363d44

45503364420 has 144 divisors (see below), whose sum is σ = 142135418880. Its totient is φ = 11774792448.

The previous prime is 45503364409. The next prime is 45503364443. The reversal of 45503364420 is 2446330554.

45503364420 is a `hidden beast` number, since 4 + 5 + 5 + 0 + 3 + 3 + 644 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2541861 + ... + 2559699.

It is an arithmetic number, because the mean of its divisors is an integer number (987051520).

Almost surely, 245503364420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45503364420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71067709440).

45503364420 is an abundant number, since it is smaller than the sum of its proper divisors (96632054460).

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

45503364420 is a wasteful number, since it uses less digits than its factorization.

45503364420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18274 (or 18269 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 45503364420 its reverse (2446330554), we get a palindrome (47949694974).

The spelling of 45503364420 in words is "forty-five billion, five hundred three million, three hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 383 444 555 666 740 766 1110 1149 1332 1532 1665 1915 2220 2298 3330 3447 3830 4596 5745 6660 6894 7660 11490 13788 14171 17235 17839 22980 28342 34470 35678 42513 53517 56684 68940 70855 71356 85026 89195 107034 127539 141710 160551 170052 178390 212565 214068 255078 267585 283420 321102 356780 425130 510156 535170 637695 642204 660043 802755 850260 1070340 1275390 1320086 1605510 1980129 2550780 2640172 3211020 3300215 3960258 5940387 6600430 6832337 7920516 9900645 11880774 13200860 13664674 19801290 20497011 23761548 27329348 29701935 34161685 39602580 40994022 59403870 61491033 68323370 81988044 102485055 118807740 122982066 136646740 204970110 245964132 252796469 307455165 409940220 505592938 614910330 758389407 1011185876 1229820660 1263982345 1516778814 2275168221 2527964690 3033557628 3791947035 4550336442 5055929380 7583894070 9100672884 11375841105 15167788140 22751682210 45503364420