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15343838030664 = 23341113223742537
BaseRepresentation
bin1101111101001000010000…
…0000111110101101001000
32000022212010110021002210000
43133102010000332231020
54002343140013440124
652344510055523000
73142361416215513
oct337220400765510
960285113232700
1015343838030664
114986315612090
1218798a4389460
13873bc12c23b0
143b0907c15d7a
151b91dd7396c9
hexdf48403eb48

15343838030664 has 320 divisors, whose sum is σ = 50716889879040. Its totient is φ = 4272730352640.

The previous prime is 15343838030663. The next prime is 15343838030669. The reversal of 15343838030664 is 46603083834351.

15343838030664 is a `hidden beast` number, since 153 + 4 + 383 + 80 + 30 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×153438380306642 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 15343838030664.

It is not an unprimeable number, because it can be changed into a prime (15343838030663) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20292804 + ... + 21035340.

It is an arithmetic number, because the mean of its divisors is an integer number (158490280872).

Almost surely, 215343838030664 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 15343838030664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25358444939520).

15343838030664 is an abundant number, since it is smaller than the sum of its proper divisors (35373051848376).

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

15343838030664 is a wasteful number, since it uses less digits than its factorization.

15343838030664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742802 (or 742789 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 15343838030664 in words is "fifteen trillion, three hundred forty-three billion, eight hundred thirty-eight million, thirty thousand, six hundred sixty-four".