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1455589164484 = 22741329472
BaseRepresentation
bin10101001011100111111…
…000000000010111000100
312011011010111210221101201
4111023213320000113010
5142322021311230414
63032404411232244
7210106566520000
oct25134770002704
95134114727351
101455589164484
11511348155344
121b6129a48684
13a73525a9100
1450645363700
1527ce3538574
hex152e7e005c4

1455589164484 has 135 divisors (see below), whose sum is σ = 3221224834317. Its totient is φ = 575229406752.

The previous prime is 1455589164479. The next prime is 1455589164539. The reversal of 1455589164484 is 4844619855541.

It is a happy number.

The square root of 1455589164484 is 1206478.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 215323840900 + 1240265323584 = 464030^2 + 1113672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1537052499 + ... + 1537053445.

Almost surely, 21455589164484 is an apocalyptic number.

1455589164484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1455589164484 is the 1206478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1455589164484

1455589164484 is an abundant number, since it is smaller than the sum of its proper divisors (1765635669833).

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

1455589164484 is an frugal number, since it uses more digits than its factorization.

1455589164484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 969 counting only the distinct ones).

The product of its digits is 110592000, while the sum is 64.

Multiplying 1455589164484 by its sum of digits (64), we get a square (93157706526976 = 96518242).

The spelling of 1455589164484 in words is "one trillion, four hundred fifty-five billion, five hundred eighty-nine million, one hundred sixty-four thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 343 364 637 676 686 947 1183 1274 1372 1894 2366 2401 2548 3788 4459 4732 4802 6629 8281 8918 9604 12311 13258 16562 17836 24622 26516 31213 33124 46403 49244 57967 62426 86177 92806 115934 124852 160043 172354 185612 231868 320086 324821 344708 405769 603239 640172 649642 811538 896809 1120301 1206478 1299284 1623076 1793618 2240602 2273747 2412956 3587236 4222673 4481204 4547494 6277663 7842107 8445346 9094988 11658517 12555326 15684214 16890692 23317034 25110652 29558711 31368428 43943641 46634068 54894749 59117422 81609619 87887282 109789498 118234844 151560721 163219238 175774564 219578996 303121442 307605487 326438476 384263243 571267333 606242884 615210974 768526486 1060925047 1142534666 1230421948 1537052972 2121850094 2153238409 2285069332 3998871331 4243700188 4306476818 7426475329 7997742662 8612953636 14852950658 15995485324 27992099317 29705901316 51985327303 55984198634 103970654606 111968397268 207941309212 363897291121 727794582242 1455589164484