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132008475760 = 2457823286427
BaseRepresentation
bin111101011110001010…
…0010111110001110000
3110121201220020101101221
41322330110113301300
54130323132211020
6140351023434424
712352202346550
oct1727424276160
9417656211357
10132008475760
1150a91385757
1221701455a14
13c5aa028a25
14656412d160
15367934c6aa
hex1ebc517c70

132008475760 has 80 divisors (see below), whose sum is σ = 351192807936. Its totient is φ = 45204897024.

The previous prime is 132008475749. The next prime is 132008475773. The reversal of 132008475760 is 67574800231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317667 + ... + 604093.

Almost surely, 2132008475760 is an apocalyptic number.

132008475760 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 132008475760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175596403968).

132008475760 is an abundant number, since it is smaller than the sum of its proper divisors (219184332176).

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

132008475760 is a wasteful number, since it uses less digits than its factorization.

132008475760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287270 (or 287264 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 132008475760 in words is "one hundred thirty-two billion, eight million, four hundred seventy-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 823 1646 3292 4115 5761 6584 8230 11522 13168 16460 23044 28805 32920 46088 57610 65840 92176 115220 230440 286427 460880 572854 1145708 1432135 2004989 2291416 2864270 4009978 4582832 5728540 8019956 10024945 11457080 16039912 20049890 22914160 32079824 40099780 80199560 160399120 235729421 471458842 942917684 1178647105 1650105947 1885835368 2357294210 3300211894 3771670736 4714588420 6600423788 8250529735 9429176840 13200847576 16501059470 18858353680 26401695152 33002118940 66004237880 132008475760