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5155141632 = 21134211993
BaseRepresentation
bin1001100110100010…
…10011100000000000
3111022021022022212120
410303101103200000
541024204013012
62211312324240
7241514660304
oct46321234000
914267268776
105155141632
112205a41233
12bba543680
1364203ab84
1436c927d04
1520289e58c
hex133453800

5155141632 has 96 divisors (see below), whose sum is σ = 13783245840. Its totient is φ = 1713438720.

The previous prime is 5155141597. The next prime is 5155141633. The reversal of 5155141632 is 2361415515.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5155141593 and 5155141602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5155141633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2585628 + ... + 2587620.

Almost surely, 25155141632 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 5155141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891622920).

5155141632 is an abundant number, since it is smaller than the sum of its proper divisors (8628104208).

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

5155141632 is a wasteful number, since it uses less digits than its factorization.

5155141632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2419 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

The square root of 5155141632 is about 71799.3149828047. The cubic root of 5155141632 is about 1727.4820120952.

The spelling of 5155141632 in words is "five billion, one hundred fifty-five million, one hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 421 512 768 842 1024 1263 1536 1684 1993 2048 2526 3072 3368 3986 5052 5979 6144 6736 7972 10104 11958 13472 15944 20208 23916 26944 31888 40416 47832 53888 63776 80832 95664 107776 127552 161664 191328 215552 255104 323328 382656 431104 510208 646656 765312 839053 862208 1020416 1293312 1530624 1678106 2040832 2517159 2586624 3061248 3356212 4081664 5034318 6122496 6712424 10068636 12244992 13424848 20137272 26849696 40274544 53699392 80549088 107398784 161098176 214797568 322196352 429595136 644392704 859190272 1288785408 1718380544 2577570816 5155141632