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5412660660 = 22325116740801
BaseRepresentation
bin1010000101001111…
…01010010110110100
3111222012212122120100
411002213222112310
542041120120120
62253032034100
7251062566531
oct50247522664
914865778510
105412660660
112328340080
121070832930
136834b3ab4
14394bddd88
1521a2bb490
hex1429ea5b4

5412660660 has 144 divisors (see below), whose sum is σ = 18178759872. Its totient is φ = 1292544000.

The previous prime is 5412660653. The next prime is 5412660661. The reversal of 5412660660 is 660662145.

It is a happy number.

5412660660 is a `hidden beast` number, since 5 + 41 + 2 + 6 + 606 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5412660661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112260 + ... + 153060.

It is an arithmetic number, because the mean of its divisors is an integer number (126241388).

Almost surely, 25412660660 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 5412660660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9089379936).

5412660660 is an abundant number, since it is smaller than the sum of its proper divisors (12766099212).

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

5412660660 is a wasteful number, since it uses less digits than its factorization.

5412660660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40894 (or 40889 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5412660660 is about 73570.7867295165. The cubic root of 5412660660 is about 1755.7806836720.

The spelling of 5412660660 in words is "five billion, four hundred twelve million, six hundred sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 67 90 99 110 132 134 165 180 198 201 220 268 330 335 396 402 495 603 660 670 737 804 990 1005 1206 1340 1474 1980 2010 2211 2412 2948 3015 3685 4020 4422 6030 6633 7370 8844 11055 12060 13266 14740 22110 26532 33165 40801 44220 66330 81602 122403 132660 163204 204005 244806 367209 408010 448811 489612 612015 734418 816020 897622 1224030 1346433 1468836 1795244 1836045 2244055 2448060 2692866 2733667 3672090 4039299 4488110 5385732 5467334 6732165 7344180 8078598 8201001 8976220 10934668 13464330 13668335 16157196 16402002 20196495 24603003 26928660 27336670 30070337 32804004 40392990 41005005 49206006 54673340 60140674 80785980 82010010 90211011 98412012 120281348 123015015 150351685 164020020 180422022 246030030 270633033 300703370 360844044 451055055 492060060 541266066 601406740 902110110 1082532132 1353165165 1804220220 2706330330 5412660660