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45332037172660 = 2257432193907367
BaseRepresentation
bin10100100111010101011111…
…11110001111110110110100
312221111200220121120011101011
422103222233332033312310
521420210003004011120
6240225130025442004
712356063066153140
oct1223525776176664
9187450817504334
1045332037172660
11134982331a8927
12510179b640304
131c3aa3c913714
14b2a121bc2220
155392cc4ccc5a
hex293aaff8fdb4

45332037172660 has 144 divisors (see below), whose sum is σ = 111963142722816. Its totient is φ = 15102286811136.

The previous prime is 45332037172651. The next prime is 45332037172693. The reversal of 45332037172660 is 6627173023354.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49506297 + ... + 50413663.

It is an arithmetic number, because the mean of its divisors is an integer number (777521824464).

Almost surely, 245332037172660 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 45332037172660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55981571361408).

45332037172660 is an abundant number, since it is smaller than the sum of its proper divisors (66631105550156).

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

45332037172660 is a wasteful number, since it uses less digits than its factorization.

45332037172660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907662 (or 907617 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 49.

The spelling of 45332037172660 in words is "forty-five trillion, three hundred thirty-two billion, thirty-seven million, one hundred seventy-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 193 215 301 386 430 602 772 860 965 1204 1351 1505 1849 1930 2702 3010 3698 3860 5404 6020 6755 7396 8299 9245 12943 13510 16598 18490 25886 27020 33196 36980 41495 51772 58093 64715 82990 116186 129430 165980 232372 258860 290465 356857 580930 713714 907367 1161860 1427428 1784285 1814734 2497999 3568570 3629468 4536835 4995998 6351569 7137140 9073670 9991996 12489995 12703138 18147340 24979990 25406276 31757845 39016781 49959980 63515690 78033562 127031380 156067124 175121831 195083905 273117467 350243662 390167810 546234934 700487324 780335620 875609155 1092469868 1225852817 1365587335 1677721583 1751218310 2451705634 2731174670 3355443166 3502436620 4903411268 5462349340 6129264085 6710886332 7530238733 8388607915 11744051081 12258528170 15060477466 16777215830 23488102162 24517056340 30120954932 33554431660 37651193665 46976204324 52711671131 58720255405 75302387330 105423342262 117440510810 150604774660 210846684524 234881021620 263558355655 323800265519 527116711310 647600531038 1054233422620 1295201062076 1619001327595 2266601858633 3238002655190 4533203717266 6476005310380 9066407434532 11333009293165 22666018586330 45332037172660