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5003657712 = 24364110463
BaseRepresentation
bin1001010100011110…
…11100000111110000
3110220201021011000000
410222033130013300
540221414021322
62144301430000
7234665250234
oct45217340760
913821234000
105003657712
112138486109
12b7786b300
1361983c711
143567745c4
151e442a3ac
hex12a3dc1f0

5003657712 has 140 divisors (see below), whose sum is σ = 14891171904. Its totient is φ = 1627050240.

The previous prime is 5003657699. The next prime is 5003657717. The reversal of 5003657712 is 2177563005.

5003657712 is a `hidden beast` number, since 50 + 0 + 36 + 577 + 1 + 2 = 666.

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 (5003657717) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 472993 + ... + 483455.

Almost surely, 25003657712 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 5003657712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7445585952).

5003657712 is an abundant number, since it is smaller than the sum of its proper divisors (9887514192).

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

5003657712 is a wasteful number, since it uses less digits than its factorization.

5003657712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10530 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5003657712 is about 70736.5373198321. The cubic root of 5003657712 is about 1710.3928183428.

The spelling of 5003657712 in words is "five billion, three million, six hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 243 246 324 328 369 432 486 492 648 656 729 738 972 984 1107 1296 1458 1476 1944 1968 2214 2916 2952 3321 3888 4428 5832 5904 6642 8856 9963 10463 11664 13284 17712 19926 20926 26568 29889 31389 39852 41852 53136 59778 62778 79704 83704 94167 119556 125556 159408 167408 188334 239112 251112 282501 376668 428983 478224 502224 565002 753336 847503 857966 1130004 1286949 1506672 1695006 1715932 2260008 2542509 2573898 3390012 3431864 3860847 4520016 5085018 5147796 6780024 6863728 7627527 7721694 10170036 10295592 11582541 13560048 15255054 15443388 20340072 20591184 23165082 30510108 30886776 34747623 40680144 46330164 61020216 61773552 69495246 92660328 104242869 122040432 138990492 185320656 208485738 277980984 312728607 416971476 555961968 625457214 833942952 1250914428 1667885904 2501828856 5003657712