Search a number
-
+
515465545441 = 721117139404713
BaseRepresentation
bin1111000000001000010…
…01000000011011100001
31211021111200100211012211
413200010021000123201
531421133134423231
61032445051322121
752145500562200
oct7400411003341
91737450324184
10515465545441
11189675953710
1283a98450341
13397ba2774b2
141ad3d1d1237
15d61d756eb1
hex78042406e1

515465545441 has 48 divisors (see below), whose sum is σ = 697597427520. Its totient is φ = 375313720320.

The previous prime is 515465545421. The next prime is 515465545487. The reversal of 515465545441 is 144545564515.

It is a de Polignac number, because none of the positive numbers 2k-515465545441 is a prime.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (515465545421) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1071301 + ... + 1476013.

It is an arithmetic number, because the mean of its divisors is an integer number (14533279740).

Almost surely, 2515465545441 is an apocalyptic number.

It is an amenable number.

515465545441 is a deficient number, since it is larger than the sum of its proper divisors (182131882079).

515465545441 is a wasteful number, since it uses less digits than its factorization.

515465545441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404894 (or 404887 counting only the distinct ones).

The product of its digits is 4800000, while the sum is 49.

The spelling of 515465545441 in words is "five hundred fifteen billion, four hundred sixty-five million, five hundred forty-five thousand, four hundred forty-one".

Divisors: 1 7 11 17 49 77 119 139 187 539 833 973 1309 1529 2363 6811 9163 10703 16541 25993 74921 115787 181951 404713 1273657 2832991 4451843 6880121 19830937 31162901 48160847 56255107 75681331 218140307 337125929 393785749 529769317 618806177 956336819 2756500243 3708385219 4331643239 6694357733 10519705009 30321502673 46860504131 73637935063 515465545441