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45545104524120 = 23351574750150893
BaseRepresentation
bin10100101101100010010111…
…10001101100001101011000
312222021001212122101002011120
422112301023301230031120
521432202333224232440
6240511044314325240
712410345101600545
oct1226611361541530
9188231778332146
1045545104524120
111356a630166643
125136b43429820
131c54b67256706
14b36575561bcc
1553eaecc59dd0
hex296c4bc6c358

45545104524120 has 128 divisors (see below), whose sum is σ = 137511198901440. Its totient is φ = 12067511040000.

The previous prime is 45545104524079. The next prime is 45545104524173. The reversal of 45545104524120 is 2142540154554.

It is a super-2 number, since 2×455451045241202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894893394 + ... + 894944286.

Almost surely, 245545104524120 is an apocalyptic number.

45545104524120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45545104524120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68755599450720).

45545104524120 is an abundant number, since it is smaller than the sum of its proper divisors (91966094377320).

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

45545104524120 is a wasteful number, since it uses less digits than its factorization.

45545104524120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98565 (or 98561 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 42.

Adding to 45545104524120 its reverse (2142540154554), we get a palindrome (47687644678674).

The spelling of 45545104524120 in words is "forty-five trillion, five hundred forty-five billion, one hundred four million, five hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 6280 9420 18840 47501 50893 95002 101786 142503 152679 190004 203572 237505 254465 285006 305358 380008 407144 475010 508930 570012 610716 712515 763395 950020 1017860 1140024 1221432 1425030 1526790 1900040 2035720 2850060 3053580 5700120 6107160 7457657 7990201 14915314 15980402 22372971 23970603 29830628 31960804 37288285 39951005 44745942 47941206 59661256 63921608 74576570 79902010 89491884 95882412 111864855 119853015 149153140 159804020 178983768 191764824 223729710 239706030 298306280 319608040 447459420 479412060 894918840 958824120 2417468393 4834936786 7252405179 9669873572 12087341965 14504810358 19339747144 24174683930 29009620716 36262025895 48349367860 58019241432 72524051790 96698735720 145048103580 290096207160 379542537701 759085075402 1138627613103 1518170150804 1897712688505 2277255226206 3036340301608 3795425377010 4554510452412 5693138065515 7590850754020 9109020904824 11386276131030 15181701508040 22772552262060 45545104524120