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15561660420 = 22325299293209
BaseRepresentation
bin11100111111000110…
…00001100000000100
31111011112000020221100
432133203001200010
5223332241113140
611052100220100
71060426634235
oct163743014004
944145006840
1015561660420
116666173889
12302369a630
13161000cab7
14a78a6b08c
156112ac530
hex39f8c1804

15561660420 has 144 divisors (see below), whose sum is σ = 48899214000. Its totient is φ = 4001120256.

The previous prime is 15561660409. The next prime is 15561660461. The reversal of 15561660420 is 2406616551.

15561660420 is a `hidden beast` number, since 1 + 556 + 1 + 6 + 60 + 42 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1829101824 + 13732558596 = 42768^2 + 117186^2 .

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, 4847776 + ... + 4850984.

It is an arithmetic number, because the mean of its divisors is an integer number (339577875).

Almost surely, 215561660420 is an apocalyptic number.

15561660420 is a gapful number since it is divisible by the number (10) 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 15561660420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24449607000).

15561660420 is an abundant number, since it is smaller than the sum of its proper divisors (33337553580).

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

15561660420 is a wasteful number, since it uses less digits than its factorization.

15561660420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 15561660420 in words is "fifteen billion, five hundred sixty-one million, six hundred sixty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 929 1044 1305 1740 1858 2610 2787 3209 3716 4645 5220 5574 6418 8361 9290 9627 11148 12836 13935 16045 16722 18580 19254 26941 27870 28881 32090 33444 38508 41805 48135 53882 55740 57762 64180 80823 83610 93061 96270 107764 115524 134705 144405 161646 167220 186122 192540 242469 269410 279183 288810 323292 372244 404115 465305 484938 538820 558366 577620 808230 837549 930610 969876 1116732 1212345 1395915 1616460 1675098 1861220 2424690 2791830 2981161 3350196 4187745 4849380 5583660 5962322 8375490 8943483 11924644 14905805 16750980 17886966 26830449 29811610 35773932 44717415 53660898 59623220 86453669 89434830 107321796 134152245 172907338 178869660 259361007 268304490 345814676 432268345 518722014 536608980 778083021 864536690 1037444028 1296805035 1556166042 1729073380 2593610070 3112332084 3890415105 5187220140 7780830210 15561660420