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5001513132 = 22371110153593
BaseRepresentation
bin1001010100001110…
…10000100010101100
3110220120020012012010
410222013100202230
540220341410012
62144143441220
7234641105640
oct45207204254
913816205163
105001513132
112137250930
12b76bb6210
1361926b535
14356376c20
151e4154c3c
hex12a1d08ac

5001513132 has 96 divisors (see below), whose sum is σ = 14694188544. Its totient is φ = 1286208000.

The previous prime is 5001513119. The next prime is 5001513133. The reversal of 5001513132 is 2313151005.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 5001513099 and 5001513108.

It is not an unprimeable number, because it can be changed into a prime (5001513133) 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 31 ways as a sum of consecutive naturals, for example, 66528 + ... + 120120.

It is an arithmetic number, because the mean of its divisors is an integer number (153064464).

Almost surely, 25001513132 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 5001513132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7347094272).

5001513132 is an abundant number, since it is smaller than the sum of its proper divisors (9692675412).

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

5001513132 is a wasteful number, since it uses less digits than its factorization.

5001513132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53719 (or 53717 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 5001513132 is about 70721.3767682728. The cubic root of 5001513132 is about 1710.1484239008.

Adding to 5001513132 its reverse (2313151005), we get a palindrome (7314664137).

The spelling of 5001513132 in words is "five billion, one million, five hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 132 154 202 231 303 308 404 462 606 707 924 1111 1212 1414 2121 2222 2828 3333 4242 4444 6666 7777 8484 13332 15554 23331 31108 46662 53593 93324 107186 160779 214372 321558 375151 589523 643116 750302 1125453 1179046 1500604 1768569 2250906 2358092 3537138 4126661 4501812 5412893 7074276 8253322 10825786 12379983 16238679 16506644 21651572 24759966 32477358 37890251 49519932 59541823 64954716 75780502 113670753 119083646 151561004 178625469 227341506 238167292 357250938 416792761 454683012 714501876 833585522 1250378283 1667171044 2500756566 5001513132