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5143503552 = 263117134301
BaseRepresentation
bin1001100101001001…
…11010001011000000
3111021110102001102120
410302210322023000
541013214103202
62210215044240
7241314026115
oct46244721300
914243361376
105143503552
1121aa412390
12bb6670680
1363c7c4835
1436b17890c
152018510bc
hex13293a2c0

5143503552 has 112 divisors (see below), whose sum is σ = 15055559424. Its totient is φ = 1536640000.

The previous prime is 5143503529. The next prime is 5143503557. The reversal of 5143503552 is 2553053415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5143503557) 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 15 ways as a sum of consecutive naturals, for example, 132802 + ... + 167102.

Almost surely, 25143503552 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 5143503552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7527779712).

5143503552 is an abundant number, since it is smaller than the sum of its proper divisors (9912055872).

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

5143503552 is a wasteful number, since it uses less digits than its factorization.

5143503552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34398 (or 34388 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The square root of 5143503552 is about 71718.2232908764. The cubic root of 5143503552 is about 1726.1810635511.

Adding to 5143503552 its reverse (2553053415), we get a palindrome (7696556967).

The spelling of 5143503552 in words is "five billion, one hundred forty-three million, five hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 132 142 176 192 213 264 284 352 426 528 568 704 781 852 1056 1136 1562 1704 2112 2272 2343 3124 3408 4544 4686 6248 6816 9372 12496 13632 18744 24992 34301 37488 49984 68602 74976 102903 137204 149952 205806 274408 377311 411612 548816 754622 823224 1097632 1131933 1509244 1646448 2195264 2263866 2435371 3018488 3292896 4527732 4870742 6036976 6585792 7306113 9055464 9741484 12073952 14612226 18110928 19482968 24147904 26789081 29224452 36221856 38965936 53578162 58448904 72443712 77931872 80367243 107156324 116897808 155863744 160734486 214312648 233795616 321468972 428625296 467591232 642937944 857250592 1285875888 1714501184 2571751776 5143503552