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19148654040 = 2335271588827
BaseRepresentation
bin10001110101010110…
…010100010111011000
31211102111120102010220
4101311112110113120
5303204023412130
612444034040040
71245343605465
oct216526242730
954374512126
1019148654040
118136a0921a
123864a19020
131a621b7b29
14cd91d266c
15771150410
hex4755945d8

19148654040 has 64 divisors (see below), whose sum is σ = 57658037760. Its totient is φ = 5087456640.

The previous prime is 19148654029. The next prime is 19148654047. The reversal of 19148654040 is 4045684191.

It is a junction number, because it is equal to n+sod(n) for n = 19148653983 and 19148654001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19148654047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261894 + ... + 326933.

It is an arithmetic number, because the mean of its divisors is an integer number (900906840).

Almost surely, 219148654040 is an apocalyptic number.

19148654040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19148654040 is an abundant number, since it is smaller than the sum of its proper divisors (38509383720).

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

19148654040 is a wasteful number, since it uses less digits than its factorization.

19148654040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589112 (or 589108 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 19148654040 in words is "nineteen billion, one hundred forty-eight million, six hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 542 813 1084 1355 1626 2168 2710 3252 4065 5420 6504 8130 10840 16260 32520 588827 1177654 1766481 2355308 2944135 3532962 4710616 5888270 7065924 8832405 11776540 14131848 17664810 23553080 35329620 70659240 159572117 319144234 478716351 638288468 797860585 957432702 1276576936 1595721170 1914865404 2393581755 3191442340 3829730808 4787163510 6382884680 9574327020 19148654040