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19248191120 = 2459712719531
BaseRepresentation
bin10001111011010010…
…000001011010010000
31211200102212102100102
4101323102001122100
5303410014103440
612501551311532
71250662632164
oct217322013220
954612772312
1019248191120
118188113974
12389221b5a8
131a799c8a02
14d08502ca4
15779c62b15
hex47b481690

19248191120 has 80 divisors (see below), whose sum is σ = 45571749888. Its totient is φ = 7559516160.

The previous prime is 19248191119. The next prime is 19248191147. The reversal of 19248191120 is 2119184291.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×192481911202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975755 + ... + 995285.

Almost surely, 219248191120 is an apocalyptic number.

19248191120 is a gapful number since it is divisible by the number (10) 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 19248191120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22785874944).

19248191120 is an abundant number, since it is smaller than the sum of its proper divisors (26323558768).

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

19248191120 is a wasteful number, since it uses less digits than its factorization.

19248191120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19768 (or 19762 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 38.

The spelling of 19248191120 in words is "nineteen billion, two hundred forty-eight million, one hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 127 194 254 388 485 508 635 776 970 1016 1270 1552 1940 2032 2540 3880 5080 7760 10160 12319 19531 24638 39062 49276 61595 78124 97655 98552 123190 156248 195310 197104 246380 312496 390620 492760 781240 985520 1562480 1894507 2480437 3789014 4960874 7578028 9472535 9921748 12402185 15156056 18945070 19843496 24804370 30312112 37890140 39686992 49608740 75780280 99217480 151560560 198434960 240602389 481204778 962409556 1203011945 1924819112 2406023890 3849638224 4812047780 9624095560 19248191120