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19152696948 = 2237119722203
BaseRepresentation
bin10001110101100101…
…101111011001110100
31211102210011210222020
4101311211233121310
5303211042300243
612444300433140
71245423144420
oct216545573164
954383153866
1019152696948
11813921a770
1238662487b0
131a62ca2098
14cd9965b80
1577169d283
hex47596f674

19152696948 has 144 divisors (see below), whose sum is σ = 56322814464. Its totient is φ = 4921205760.

The previous prime is 19152696947. The next prime is 19152696967. The reversal of 19152696948 is 84969625191.

It is a junction number, because it is equal to n+sod(n) for n = 19152696891 and 19152696900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19152696947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8692815 + ... + 8695017.

It is an arithmetic number, because the mean of its divisors is an integer number (391130656).

Almost surely, 219152696948 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 19152696948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28161407232).

19152696948 is an abundant number, since it is smaller than the sum of its proper divisors (37170117516).

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

19152696948 is a wasteful number, since it uses less digits than its factorization.

19152696948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2323 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 60.

The spelling of 19152696948 in words is "nineteen billion, one hundred fifty-two million, six hundred ninety-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 97 132 154 194 231 291 308 388 462 582 679 924 1067 1164 1358 2037 2134 2203 2716 3201 4074 4268 4406 6402 6609 7469 8148 8812 9409 12804 13218 14938 15421 18818 22407 24233 26436 28227 29876 30842 37636 44814 46263 48466 56454 61684 65863 72699 89628 92526 96932 103499 112908 131726 145398 169631 185052 197589 206998 213691 263452 290796 310497 339262 395178 413996 427382 508893 620994 641073 678524 724493 790356 854764 1017786 1241988 1282146 1448986 1495837 2035572 2173479 2350601 2564292 2897972 2991674 4346958 4487511 4701202 5983348 7051803 8693916 8975022 9402404 14103606 16454207 17950044 20728027 28207212 32908414 41456054 49362621 62184081 65816828 82912108 98725242 124368162 145096189 197450484 228008297 248736324 290192378 435288567 456016594 580384756 684024891 870577134 912033188 1368049782 1596058079 1741154268 2736099564 3192116158 4788174237 6384232316 9576348474 19152696948