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5460101216 = 25616783503
BaseRepresentation
bin1010001010111001…
…01000100001100000
3112002112010212202222
411011130220201200
542140241214331
62301444530212
7252210044303
oct50534504140
915075125688
105460101216
1123520a2949
1210846b0968
1369028422b
1439b22cb3a
1521e53cb7b
hex145728860

5460101216 has 96 divisors (see below), whose sum is σ = 11244780288. Its totient is φ = 2608151040.

The previous prime is 5460101197. The next prime is 5460101219. The reversal of 5460101216 is 6121010645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460101219) 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, 10854821 + ... + 10855323.

It is an arithmetic number, because the mean of its divisors is an integer number (117133128).

Almost surely, 25460101216 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 5460101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622390144).

5460101216 is an abundant number, since it is smaller than the sum of its proper divisors (5784679072).

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

5460101216 is a wasteful number, since it uses less digits than its factorization.

5460101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 5460101216 is about 73892.4976976689. The cubic root of 5460101216 is about 1760.8954224643.

The spelling of 5460101216 in words is "five billion, four hundred sixty million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 61 67 83 122 134 166 244 268 332 488 503 536 664 976 1006 1072 1328 1952 2012 2144 2656 4024 4087 5063 5561 8048 8174 10126 11122 16096 16348 20252 22244 30683 32696 33701 40504 41749 44488 61366 65392 67402 81008 83498 88976 122732 130784 134804 162016 166996 177952 245464 269608 333992 339221 490928 539216 667984 678442 981856 1078432 1335968 1356884 2055761 2546689 2713768 2797183 4111522 5093378 5427536 5594366 8223044 10186756 10855072 11188732 16446088 20373512 22377464 32892176 40747024 44754928 65784352 81494048 89509856 170628163 341256326 682512652 1365025304 2730050608 5460101216