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5021553504 = 2531127717167
BaseRepresentation
bin1001010110100111…
…01101001101100000
3110221221221100102010
410223103231031200
540241004203004
62150141152520
7235303333452
oct45323551540
913857840363
105021553504
112147599520
12b8185b740
13620467146
14358cb22d2
151e5cb2a89
hex12b4ed360

5021553504 has 96 divisors (see below), whose sum is σ = 14432656896. Its totient is φ = 1516101120.

The previous prime is 5021553503. The next prime is 5021553527. The reversal of 5021553504 is 4053551205.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5021553503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283929 + ... + 301095.

It is an arithmetic number, because the mean of its divisors is an integer number (150340176).

Almost surely, 25021553504 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 5021553504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7216328448).

5021553504 is an abundant number, since it is smaller than the sum of its proper divisors (9411103392).

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

5021553504 is a wasteful number, since it uses less digits than its factorization.

5021553504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17468 (or 17460 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 5021553504 is about 70862.9205155983. The cubic root of 5021553504 is about 1712.4294894441.

The spelling of 5021553504 in words is "five billion, twenty-one million, five hundred fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 277 352 528 554 831 1056 1108 1662 2216 3047 3324 4432 6094 6648 8864 9141 12188 13296 17167 18282 24376 26592 34334 36564 48752 51501 68668 73128 97504 103002 137336 146256 188837 206004 274672 292512 377674 412008 549344 566511 755348 824016 1133022 1510696 1648032 2266044 3021392 4532088 4755259 6042784 9064176 9510518 14265777 18128352 19021036 28531554 38042072 52307849 57063108 76084144 104615698 114126216 152168288 156923547 209231396 228252432 313847094 418462792 456504864 627694188 836925584 1255388376 1673851168 2510776752 5021553504