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533048488100 = 2252157307911027
BaseRepresentation
bin1111100000111000010…
…10100111000010100100
31212221220001202212010022
413300130022213002210
532213140403104400
61044513515014312
753340303250532
oct7603412470244
91787801685108
10533048488100
11196078a7a787
1287384a3a398
133b35cc7358b
141bb2a497152
15dcec1ccb85
hex7c1c2a70a4

533048488100 has 72 divisors (see below), whose sum is σ = 1164566504640. Its totient is φ = 211773294720.

The previous prime is 533048488099. The next prime is 533048488111. The reversal of 533048488100 is 1884840335.

It is a super-2 number, since 2×5330484881002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48334787 + ... + 48345813.

Almost surely, 2533048488100 is an apocalyptic number.

533048488100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533048488100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582283252320).

533048488100 is an abundant number, since it is smaller than the sum of its proper divisors (631518016540).

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

533048488100 is a wasteful number, since it uses less digits than its factorization.

533048488100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14277 (or 14270 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 533048488100 in words is "five hundred thirty-three billion, forty-eight million, four hundred eighty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3079 3140 3925 6158 7850 11027 12316 15395 15700 22054 30790 44108 55135 61580 76975 110270 153950 220540 275675 307900 483403 551350 966806 1102700 1731239 1933612 2417015 3462478 4834030 6924956 8656195 9668060 12085075 17312390 24170150 33952133 34624780 43280975 48340300 67904266 86561950 135808532 169760665 173123900 339521330 679042660 848803325 1697606650 3395213300 5330484881 10660969762 21321939524 26652424405 53304848810 106609697620 133262122025 266524244050 533048488100