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81774870040 = 2356160755213
BaseRepresentation
bin100110000101000101…
…0010111111000011000
321211002000211210222101
41030022022113320120
52314433331320130
6101322235133144
75623312632553
oct1141212277030
9254060753871
1081774870040
1131753867226
1213a222a41b4
137932a66786
143d5a78d69a
1521d92111ca
hex130a297e18

81774870040 has 64 divisors (see below), whose sum is σ = 187321224960. Its totient is φ = 32120133120.

The previous prime is 81774870029. The next prime is 81774870049. The reversal of 81774870040 is 4007847718.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81774870049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1453474 + ... + 1508686.

It is an arithmetic number, because the mean of its divisors is an integer number (2926894140).

Almost surely, 281774870040 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 81774870040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93660612480).

81774870040 is an abundant number, since it is smaller than the sum of its proper divisors (105546354920).

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

81774870040 is a wasteful number, since it uses less digits than its factorization.

81774870040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55892 (or 55888 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 46.

It can be divided in two parts, 817748 and 70040, that added together give a palindrome (887788).

The spelling of 81774870040 in words is "eighty-one billion, seven hundred seventy-four million, eight hundred seventy thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 607 610 1214 1220 2428 2440 3035 4856 6070 12140 24280 37027 55213 74054 110426 148108 185135 220852 276065 296216 370270 441704 552130 740540 1104260 1481080 2208520 3367993 6735986 13471972 16839965 26943944 33514291 33679930 67028582 67359860 134057164 134719720 167571455 268114328 335142910 670285820 1340571640 2044371751 4088743502 8177487004 10221858755 16354974008 20443717510 40887435020 81774870040