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1543421664 = 253239713499
BaseRepresentation
bin101101111111110…
…1011111011100000
310222120012221111100
41123333223323200
511130103443124
6413052514400
753150603421
oct13377537340
93876187440
101543421664
117222485a4
12370a7ba00
131b79b6375
14108da7648
15907751c9
hex5bfebee0

1543421664 has 72 divisors (see below), whose sum is σ = 4400487000. Its totient is φ = 513139968.

The previous prime is 1543421641. The next prime is 1543421669. The reversal of 1543421664 is 4661243451.

1543421664 is a `hidden beast` number, since 1 + 5 + 434 + 216 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (1543421669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107587 + ... + 121085.

It is an arithmetic number, because the mean of its divisors is an integer number (61117875).

Almost surely, 21543421664 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 1543421664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200243500).

1543421664 is an abundant number, since it is smaller than the sum of its proper divisors (2857065336).

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

1543421664 is a wasteful number, since it uses less digits than its factorization.

1543421664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13912 (or 13901 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1543421664 is about 39286.4055876839. The cubic root of 1543421664 is about 1155.6549857791.

The spelling of 1543421664 in words is "one billion, five hundred forty-three million, four hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 397 794 1191 1588 2382 3176 3573 4764 6352 7146 9528 12704 13499 14292 19056 26998 28584 38112 40497 53996 57168 80994 107992 114336 121491 161988 215984 242982 323976 431968 485964 647952 971928 1295904 1943856 3887712 5359103 10718206 16077309 21436412 32154618 42872824 48231927 64309236 85745648 96463854 128618472 171491296 192927708 257236944 385855416 514473888 771710832 1543421664