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45031302541504 = 2619471657475511
BaseRepresentation
bin10100011110100101010101…
…10010101011000011000000
312220102221122220022000010201
422033102222302223003000
521400243101422312004
6235435032250534544
712325255441031626
oct1217225262530300
9186387586260121
1045031302541504
1113391739359344
125073450137454
131c1858383b826
14b1975328d516
1553157a5aa6a4
hex28f4aacab0c0

45031302541504 has 112 divisors (see below), whose sum is σ = 96121593400320. Its totient is φ = 20864131061760.

The previous prime is 45031302541501. The next prime is 45031302541639. The reversal of 45031302541504 is 40514520313054.

It is not an unprimeable number, because it can be changed into a prime (45031302541501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94463109 + ... + 94938619.

Almost surely, 245031302541504 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 45031302541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48060796700160).

45031302541504 is an abundant number, since it is smaller than the sum of its proper divisors (51090290858816).

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

45031302541504 is a wasteful number, since it uses less digits than its factorization.

45031302541504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477246 (or 477236 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 45031302541504 its reverse (40514520313054), we get a palindrome (85545822854558).

The spelling of 45031302541504 in words is "forty-five trillion, thirty-one billion, three hundred two million, five hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 152 188 304 376 608 752 893 1216 1504 1657 1786 3008 3314 3572 6628 7144 13256 14288 26512 28576 31483 53024 57152 62966 77879 106048 125932 155758 251864 311516 475511 503728 623032 951022 1007456 1246064 1479701 1902044 2014912 2492128 2959402 3804088 4984256 5918804 7608176 9034709 11837608 15216352 18069418 22349017 23675216 30432704 36138836 44698034 47350432 72277672 89396068 94700864 144555344 178792136 289110688 357584272 424631323 578221376 715168544 787921727 849262646 1430337088 1575843454 1698525292 3151686908 3397050584 6303373816 6794101168 12606747632 13588202336 14970512813 25213495264 27176404672 29941025626 37032321169 50426990528 59882051252 74064642338 119764102504 148129284676 239528205008 296258569352 479056410016 592517138704 703614102211 958112820032 1185034277408 1407228204422 2370068554816 2814456408844 5628912817688 11257825635376 22515651270752 45031302541504