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5116555104 = 2531071493343
BaseRepresentation
bin1001100001111100…
…00110111101100000
3111012120200221002220
410300332012331200
540434314230404
62203413311040
7240536000163
oct46076067540
914176627086
105116555104
112196186641
12ba9635480
1363704a7cb
14367761ada
151ee2cb4d9
hex130f86f60

5116555104 has 96 divisors (see below), whose sum is σ = 13651545600. Its totient is φ = 1677737472.

The previous prime is 5116555051. The next prime is 5116555109. The reversal of 5116555104 is 4015556115.

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

It is a super-3 number, since 3×51165551043 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5116555109) 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, 1528857 + ... + 1532199.

It is an arithmetic number, because the mean of its divisors is an integer number (142203600).

Almost surely, 25116555104 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 5116555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6825772800).

5116555104 is an abundant number, since it is smaller than the sum of its proper divisors (8534990496).

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

5116555104 is a wasteful number, since it uses less digits than its factorization.

5116555104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 33.

The square root of 5116555104 is about 71530.0992869435. The cubic root of 5116555104 is about 1723.1611130355.

The spelling of 5116555104 in words is "five billion, one hundred sixteen million, five hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 149 214 298 321 428 447 596 642 856 894 1192 1284 1712 1788 2384 2568 3343 3424 3576 4768 5136 6686 7152 10029 10272 13372 14304 15943 20058 26744 31886 40116 47829 53488 63772 80232 95658 106976 127544 160464 191316 255088 320928 357701 382632 498107 510176 715402 765264 996214 1073103 1430804 1494321 1530528 1992428 2146206 2861608 2988642 3984856 4292412 5723216 5977284 7969712 8584824 11446432 11954568 15939424 17169648 23909136 34339296 47818272 53297449 106594898 159892347 213189796 319784694 426379592 639569388 852759184 1279138776 1705518368 2558277552 5116555104