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2151581484 = 22313151241379
BaseRepresentation
bin1000000000111110…
…1000011100101100
312112221120122221010
42000033220130230
513401301101414
6553255505220
7104214066213
oct20017503454
95487518833
102151581484
11a0456a018
12500688210
132839ab050
14165a7607a
15c8d55959
hex803e872c

2151581484 has 96 divisors (see below), whose sum is σ = 5479344640. Its totient is φ = 653184000.

The previous prime is 2151581479. The next prime is 2151581491. The reversal of 2151581484 is 4841851512.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5676807 + ... + 5677185.

Almost surely, 22151581484 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 2151581484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739672320).

2151581484 is an abundant number, since it is smaller than the sum of its proper divisors (3327763156).

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

2151581484 is a wasteful number, since it uses less digits than its factorization.

2151581484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 789 counting only the distinct ones).

The product of its digits is 51200, while the sum is 39.

The square root of 2151581484 is about 46385.1429231387. The cubic root of 2151581484 is about 1290.9792624452.

The spelling of 2151581484 in words is "two billion, one hundred fifty-one million, five hundred eighty-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 241 302 379 453 482 604 723 758 906 964 1137 1446 1516 1812 1963 2274 2892 3133 3926 4548 4927 5889 6266 7852 9399 9854 11778 12532 14781 18798 19708 23556 29562 36391 37596 57229 59124 72782 91339 109173 114458 145564 171687 182678 218346 228916 274017 343374 365356 436692 473083 548034 686748 743977 946166 1096068 1187407 1419249 1487954 1892332 2231931 2374814 2838498 2975908 3562221 4463862 4749628 5676996 7124442 8927724 13792189 14248884 27584378 41376567 55168756 82753134 165506268 179298457 358596914 537895371 717193828 1075790742 2151581484